Deleting environment variables for Lambda function in one environment causes `amplify push` to fail in another environment

### Before opening, please confirm:

- [X] I have installed the latest version of the Amplify CLI (see above), and confirmed that the issue still persists.
- [X] I have [searched for duplicate or closed issues](https://github.com/aws-amplify/amplify-cli/issues?q=is%3Aissue+).
- [X] I have read the guide for [submitting bug reports](https://github.com/aws-amplify/amplify-cli/blob/dev/CONTRIBUTING.md#bug-reports).
- [X] I have done my best to include a minimal, self-contained set of instructions for consistently reproducing the issue.
- [X] I have removed any sensitive information from my code snippets and submission.

### How did you install the Amplify CLI?

npm

### If applicable, what version of Node.js are you using?

v14.21.1

### Amplify CLI Version

10.5.1

### What operating system are you using?

Mac

### Did you make any manual changes to the cloud resources managed by Amplify? Please describe the changes made.

No manual changes made

### Amplify Categories

function

### Amplify Commands

push, update

### Describe the bug

Deleting environment variables for Lambda function in one environment causes `amplify push` to fail in another environment.

### Expected behavior

`amplify push` should not fail.

### Reproduction steps

1. `amplify init -y`
2. `amplify add env` [create an environment named "prod"]
3. `amplify add function` [create a lambda function with an environment variable]
4. `amplify push`
5. `amplify env checkout dev`
6. `amplify push`
7. `amplify update function` [delete the environment variable]
8. `amplify push`
9. `amplify env checkout prod`
10. `amplify push`

`amplify push` fails with this error message:

> 🛑 The following resources failed to deploy:
> 🛑 Resource is not in the state stackUpdateComplete

### GraphQL schema(s)

```graphql
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### Project Identifier

_No response_

### Log output

```
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### Additional information

_No response_