sam local start-api does not work for nested stack when supplied with template path

### Description:
When starting API for nested stack and providing the template file, the API does not work.
In this case I am using dotnet AWS template
https://github.com/aws/aws-lambda-dotnet/tree/master/Blueprints/BlueprintDefinitions/vs2022/AnnotationsFramework/template/src/BlueprintBaseName.1

### Steps to reproduce:
`dotnet new serverless.Annotations -n name`
Enter the source folder of the function
`sam build -t serverless.template`
`sam local start-api -t serverless.template`

### Observed result:
The API does not work when performing request to one of the endpoints
```
2022-08-18 15:43:30,778 | Telemetry endpoint configured to be https://aws-serverless-tools-telemetry.us-west-2.amazonaws.com/metrics
2022-08-18 15:43:30,778 | Using config file: samconfig.toml, config environment: default
2022-08-18 15:43:30,778 | Expand command line arguments to:
2022-08-18 15:43:30,778 | --template_file=/workspaces/Database modeling/AddTransaction/src/AddTransaction/serverless.template --host=127.0.0.1 --port=3000 --static_dir=public --layer_cache_basedir=/home/vscode/.aws-sam/layers-pkg --container_host=localhost --container_host_interface=127.0.0.1
2022-08-18 15:43:30,860 | local start-api command is called
2022-08-18 15:43:30,867 | No Parameters detected in the template
2022-08-18 15:43:30,890 | There is no customer defined id or cdk path defined for resource AddTransactionFunctionsDefaultGenerated, so we will use the resource logical id as the resource id
2022-08-18 15:43:30,891 | There is no customer defined id or cdk path defined for resource AddTransactionFunctionsAddGenerated, so we will use the resource logical id as the resource id
2022-08-18 15:43:30,891 | There is no customer defined id or cdk path defined for resource AddTransactionFunctionsSubstractGenerated, so we will use the resource logical id as the resource id
2022-08-18 15:43:30,891 | There is no customer defined id or cdk path defined for resource AddTransactionFunctionsMultiplyGenerated, so we will use the resource logical id as the resource id
2022-08-18 15:43:30,891 | There is no customer defined id or cdk path defined for resource AddTransactionFunctionsDivideGenerated, so we will use the resource logical id as the resource id
2022-08-18 15:43:30,891 | There is no customer defined id or cdk path defined for resource ServerlessHttpApi, so we will use the resource logical id as the resource id
2022-08-18 15:43:30,893 | 0 stacks found in the template
2022-08-18 15:43:30,894 | No Parameters detected in the template
2022-08-18 15:43:30,915 | There is no customer defined id or cdk path defined for resource AddTransactionFunctionsDefaultGenerated, so we will use the resource logical id as the resource id
2022-08-18 15:43:30,915 | There is no customer defined id or cdk path defined for resource AddTransactionFunctionsAddGenerated, so we will use the resource logical id as the resource id
2022-08-18 15:43:30,915 | There is no customer defined id or cdk path defined for resource AddTransactionFunctionsSubstractGenerated, so we will use the resource logical id as the resource id
2022-08-18 15:43:30,915 | There is no customer defined id or cdk path defined for resource AddTransactionFunctionsMultiplyGenerated, so we will use the resource logical id as the resource id
2022-08-18 15:43:30,915 | There is no customer defined id or cdk path defined for resource AddTransactionFunctionsDivideGenerated, so we will use the resource logical id as the resource id
2022-08-18 15:43:30,916 | There is no customer defined id or cdk path defined for resource ServerlessHttpApi, so we will use the resource logical id as the resource id
2022-08-18 15:43:30,917 | 6 resources found in the stack
2022-08-18 15:43:30,917 | Found Serverless function with name='AddTransactionFunctionsDefaultGenerated' and CodeUri='.'
2022-08-18 15:43:30,917 | --base-dir is not presented, adjusting uri . relative to /workspaces/Database modeling/AddTransaction/src/AddTransaction/serverless.template
2022-08-18 15:43:30,918 | Found Serverless function with name='AddTransactionFunctionsAddGenerated' and CodeUri='.'
2022-08-18 15:43:30,919 | --base-dir is not presented, adjusting uri . relative to /workspaces/Database modeling/AddTransaction/src/AddTransaction/serverless.template
2022-08-18 15:43:30,920 | Found Serverless function with name='AddTransactionFunctionsSubstractGenerated' and CodeUri='.'
2022-08-18 15:43:30,920 | --base-dir is not presented, adjusting uri . relative to /workspaces/Database modeling/AddTransaction/src/AddTransaction/serverless.template
2022-08-18 15:43:30,922 | Found Serverless function with name='AddTransactionFunctionsMultiplyGenerated' and CodeUri='.'
2022-08-18 15:43:30,922 | --base-dir is not presented, adjusting uri . relative to /workspaces/Database modeling/AddTransaction/src/AddTransaction/serverless.template
2022-08-18 15:43:30,924 | Found Serverless function with name='AddTransactionFunctionsDivideGenerated' and CodeUri='.'
2022-08-18 15:43:30,924 | --base-dir is not presented, adjusting uri . relative to /workspaces/Database modeling/AddTransaction/src/AddTransaction/serverless.template
2022-08-18 15:43:30,931 | Found '1' API Events in Serverless function with name 'AddTransactionFunctionsDefaultGenerated'
2022-08-18 15:43:30,932 | Found '1' API Events in Serverless function with name 'AddTransactionFunctionsAddGenerated'
2022-08-18 15:43:30,932 | Found '1' API Events in Serverless function with name 'AddTransactionFunctionsSubstractGenerated'
2022-08-18 15:43:30,932 | Found '1' API Events in Serverless function with name 'AddTransactionFunctionsMultiplyGenerated'
2022-08-18 15:43:30,932 | Found '1' API Events in Serverless function with name 'AddTransactionFunctionsDivideGenerated'
2022-08-18 15:43:30,932 | Detected Inline Swagger definition
2022-08-18 15:43:30,932 | Lambda function integration not found in Swagger document at path='/add/{x}/{y}' method='get'
2022-08-18 15:43:30,932 | Lambda function integration not found in Swagger document at path='/divide/{x}/{y}' method='get'
2022-08-18 15:43:30,932 | Lambda function integration not found in Swagger document at path='/substract/{x}/{y}' method='get'
2022-08-18 15:43:30,932 | Lambda function integration not found in Swagger document at path='/' method='get'
2022-08-18 15:43:30,932 | Lambda function integration not found in Swagger document at path='/multiply/{x}/{y}' method='get'
2022-08-18 15:43:30,932 | Found '0' APIs in resource 'ServerlessHttpApi'
2022-08-18 15:43:30,933 | Removed duplicates from '0' Explicit APIs and '5' Implicit APIs to produce '5' APIs
2022-08-18 15:43:30,933 | 5 APIs found in the template
2022-08-18 15:43:30,945 | Mounting AddTransactionFunctionsSubstractGenerated at http://127.0.0.1:3000/substract/{x}/{y} [GET]
2022-08-18 15:43:30,945 | Mounting AddTransactionFunctionsMultiplyGenerated at http://127.0.0.1:3000/multiply/{x}/{y} [GET]
2022-08-18 15:43:30,945 | Mounting AddTransactionFunctionsDefaultGenerated at http://127.0.0.1:3000/ [GET]
2022-08-18 15:43:30,945 | Mounting AddTransactionFunctionsAddGenerated at http://127.0.0.1:3000/add/{x}/{y} [GET]
2022-08-18 15:43:30,945 | Mounting AddTransactionFunctionsDivideGenerated at http://127.0.0.1:3000/divide/{x}/{y} [GET]
2022-08-18 15:43:30,945 | You can now browse to the above endpoints to invoke your functions. You do not need to restart/reload SAM CLI while working on your functions, changes will be reflected instantly/automatically. You only need to restart SAM CLI if you update your AWS SAM template
2022-08-18 15:43:30,945 | Localhost server is starting up. Multi-threading = True
2022-08-18 15:43:30 * Running on http://127.0.0.1:3000/ (Press CTRL+C to quit)
2022-08-18 15:43:36,831 | Constructed String representation of Event Version 2.0 to invoke Lambda. Event: {"version": "2.0", "routeKey": "GET /", "rawPath": "/", "rawQueryString": "", "cookies": [], "headers": {"Host": "127.0.0.1:3000", "Connection": "keep-alive", "Sec-Ch-Ua": "\"Chromium\";v=\"104\", \" Not A;Brand\";v=\"99\", \"Microsoft Edge\";v=\"104\"", "Sec-Ch-Ua-Mobile": "?0", "Sec-Ch-Ua-Platform": "\"Windows\"", "Upgrade-Insecure-Requests": "1", "User-Agent": "Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/104.0.5112.81 Safari/537.36 Edg/104.0.1293.54", "Accept": "text/html,application/xhtml+xml,application/xml;q=0.9,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.9", "Sec-Fetch-Site": "none", "Sec-Fetch-Mode": "navigate", "Sec-Fetch-User": "?1", "Sec-Fetch-Dest": "document", "Accept-Encoding": "gzip, deflate, br", "Accept-Language": "en-GB,en;q=0.9,en-US;q=0.8", "X-Forwarded-Proto": "http", "X-Forwarded-Port": "3000"}, "requestContext": {"accountId": "123456789012", "apiId": "1234567890", "http": {"method": "GET", "path": "/", "protocol": "HTTP/1.1", "sourceIp": "127.0.0.1", "userAgent": "Custom User Agent String"}, "requestId": "f5eb497b-d980-463c-89b6-3a0a6535dedf", "routeKey": "GET /", "stage": "$default", "time": "18/Aug/2022:15:43:30 +0000", "timeEpoch": 1660837410, "domainName": "localhost", "domainPrefix": "localhost"}, "body": "", "pathParameters": {}, "stageVariables": null, "isBase64Encoded": false}
2022-08-18 15:43:36,832 | Found one Lambda function with name 'AddTransactionFunctionsDefaultGenerated'
2022-08-18 15:43:36,832 | Invoking AddTransaction::AddTransaction.Functions_Default_Generated::Default (dotnet6)
2022-08-18 15:43:36,832 | No environment variables found for function 'AddTransactionFunctionsDefaultGenerated'
2022-08-18 15:43:36,832 | Environment variables overrides data is standard format
2022-08-18 15:43:36,832 | Loading AWS credentials from session with profile 'None'
2022-08-18 15:43:36,854 | Resolving code path. Cwd=/workspaces/Database modeling/AddTransaction/src/AddTransaction, CodeUri=/workspaces/Database modeling/AddTransaction/src/AddTransaction
2022-08-18 15:43:36,854 | Resolved absolute path to code is /workspaces/Database modeling/AddTransaction/src/AddTransaction
2022-08-18 15:43:36,855 | Code /workspaces/Database modeling/AddTransaction/src/AddTransaction is not a zip/jar file
2022-08-18 15:43:36,907 | Skip pulling image and use local one: public.ecr.aws/sam/emulation-dotnet6:rapid-1.53.0-x86_64.

2022-08-18 15:43:36,907 | Mounting /workspaces/Database modeling/AddTransaction/src/AddTransaction as /var/task:ro,delegated inside runtime container
2022-08-18 15:43:42,065 | Starting a timer for 30 seconds for function 'AddTransactionFunctionsDefaultGenerated'
START RequestId: 77b24c3c-5223-4629-8922-071947cf1c59 Version: $LATEST
Error: .NET binaries for Lambda function are not correctly installed in the /var/task directory of the image when the image was built. The /var/task directory is missing the required .deps.json file.
18 Aug 2022 15:43:42,454 [ERROR] (rapid) Init failed error=Runtime exited with error: exit status 105 InvokeID=
Error: .NET binaries for Lambda function are not correctly installed in the /var/task directory of the image when the image was built. The /var/task directory is missing the required .deps.json file.
END RequestId: 1a079aad-a1c6-4af8-ad0c-d7889a568bff
REPORT RequestId: 1a079aad-a1c6-4af8-ad0c-d7889a568bff Init Duration: 0.18 ms Duration: 1119.09 ms Billed Duration: 1120 ms Memory Size: 256 MB Max Memory Used: 256 MB
2022-08-18 15:43:45,511 | Cleaning all decompressed code dirs
2022-08-18 15:43:45,512 | Unable to find Click Context for getting session_id.
2022-08-18 15:43:45,512 | Invalid lambda response received: Lambda response must be valid json
2022-08-18 15:43:45 127.0.0.1 - - [18/Aug/2022 15:43:45] "GET / HTTP/1.1" 502 -
2022-08-18 15:43:46 127.0.0.1 - - [18/Aug/2022 15:43:46] "GET /favicon.ico HTTP/1.1" 403 -
```

### Expected result:
The API should work

### Workaround
The API **DOES work** when running commands
`sam build -t serverless.template`
`sam local start-api`
(note that in second command template path is not supplied, but everything works as it should)

### Additional environment details (Ex: Windows, Mac, Amazon Linux etc)
SAM CLI, version 1.53.0
OS: Linux - docker dotnet 6 development container