### Issue Link:
What is the link to the issue this cherry-pick is addressing?

#179857

### Impact Description:
What is the impact (ex. visual jank on Samsung phones, app crash, cannot ship an iOS app)?
Does it impact development (ex. flutter doctor crashes when Android Studio is installed),
or the shipping of production apps (the app crashes on launch).
This information is for domain experts and release engineers to understand the consequences of saying yes or no to the cherry pick.

`flutter run -d all` causes the tool to crash if multiple devices are available.

### Changelog Description:
Explain this cherry pick:
* In one line that is accessible to most Flutter developers.
* That describes the state prior to the fix.
* That includes which platforms are impacted.
See [best practices](https://github.com/flutter/flutter/blob/main/docs/releases/Hotfix-Documentation-Best-Practices.md) for examples.

`flutter run -d all` causes the tool to crash if multiple devices are available.

### Workaround:
Is there a workaround for this issue?

No.

### Risk:
What is the risk level of this cherry-pick?

### Test Coverage:
Are you confident that your fix is well-tested by automated tests?

### Validation Steps:
What are the steps to validate that this fix works?

Run `flutter run -d all` with multiple non-web devices available and verify the application is deployed to all non-web devices.

Updates the changelog to prepare for the 3.38.7 stable hotfix.

Includes #180867

…nching web applications (#180924)

This pull request is created by [automatic cherry pick workflow](https://github.com/flutter/flutter/blob/main/docs/releases/Flutter-Cherrypick-Process.md#automatically-creates-a-cherry-pick-request)
Please fill in the form below, and a flutter domain expert will evaluate this cherry pick request.

### Issue Link:
What is the link to the issue this cherry-pick is addressing?

#178151

### Changelog Description:
Explain this cherry pick in one line that is accessible to most Flutter developers. See [best practices](https://github.com/flutter/flutter/blob/main/docs/releases/Hotfix-Documentation-Best-Practices.md) for examples

`flutter run -d chrome` can crash with a `DartDevelopmentServiceException` if the application shuts down during the startup sequence.

### Impact Description:
What is the impact (ex. visual jank on Samsung phones, app crash, cannot ship an iOS app)? Does it impact development (ex. flutter doctor crashes when Android Studio is installed), or the shipping production app (the app crashes on launch)

Flaky crashes for users developing Flutter web applications. This is one of the top crashers for 3.38.

### Workaround:
Is there a workaround for this issue?

N/A

### Risk:
What is the risk level of this cherry-pick?

### Test Coverage:
Are you confident that your fix is well-tested by automated tests?

### Validation Steps:
What are the steps to validate that this fix works?

Difficult to validate manually as the failure is timing based. Tests have been added to simulate the crash scenario and verify the fix.

- **Add changlog entry for 3.38.8**

Fixes [181495](#181495)
- **cherry pick from #181204