Console functions page does not show functions using `resourceGroupName` on defineFunction

### Environment information

```plain text
System:
OS: macOS 15.2
CPU: (8) arm64 Apple M1
Memory: 209.47 MB / 16.00 GB
Shell: /bin/zsh
Binaries:
Node: 20.18.1 - ~/.nvm/versions/node/v20.18.1/bin/node
Yarn: 1.22.22 - /opt/homebrew/bin/yarn
npm: 10.8.2 - ~/.nvm/versions/node/v20.18.1/bin/npm
pnpm: 9.15.2 - ~/Library/pnpm/pnpm
NPM Packages:
@aws-amplify/auth-construct: 1.6.0
@aws-amplify/backend: 1.14.0
@aws-amplify/backend-auth: 1.5.0
@aws-amplify/backend-cli: 1.4.8
@aws-amplify/backend-data: 1.4.0
@aws-amplify/backend-deployer: 1.1.15
@aws-amplify/backend-function: 1.12.1
@aws-amplify/backend-output-schemas: 1.4.0
@aws-amplify/backend-output-storage: 1.1.4
@aws-amplify/backend-secret: 1.1.5
@aws-amplify/backend-storage: 1.2.4
@aws-amplify/cli-core: 1.2.3
@aws-amplify/client-config: 1.5.5
@aws-amplify/deployed-backend-client: 1.5.0
@aws-amplify/form-generator: 1.0.3
@aws-amplify/model-generator: 1.0.12
@aws-amplify/platform-core: 1.6.0
@aws-amplify/plugin-types: 1.8.0
@aws-amplify/sandbox: 1.2.10
@aws-amplify/schema-generator: 1.2.7
aws-amplify: 6.12.2
aws-cdk: 2.177.0
aws-cdk-lib: 2.177.0
typescript: 5.7.3
No AWS environment variables
No CDK environment variables
```

### Describe the bug

Function page does not list functions containing resourceGroupName added on defineFunction



### Reproduction steps

1. create a [function](https://docs.amplify.aws/react/build-a-backend/functions/set-up-function/)
2. add [resourceGroupName](https://docs.amplify.aws/react/build-a-backend/functions/configure-functions/#resourcegroupname) to any other category
3. deploy via hosting

Start with the Console functions page and reproduce the issue using the listed steps: create a function, add resourceGroupName to another category, and deploy via hosting. Trace how the page discovers deployed functions and compare behavior with and without resourceGroupName; done means those functions appear in the page.

Written by the indexing model from the issue text.