…b8a8633f6ec03d2c2290bb3d01 (#187105)

This PR updates the transitive dependencies in the engine `DEPS` file based on Dart SDK hash `fc3da898ea1664b8a8633f6ec03d2c2290bb3d01`.

…s crashes and connection timeouts (#187118)

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?

#186962
#186963

### 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.

The Flutter Tool crashes instead of exiting gracefully. These two issues are top-10 crashers for the tool on 3.44.0.

### 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/186962] When the analysis server exits unexpectedly, the `flutter` tool can crash instead of outputting a descriptive error message.
[flutter/186963] When failing to connect to a Chrome instance on Windows, the `flutter` tool can crash instead of outputting a descriptive error message.

### 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?

These crashes are flaky and hard to reproduce. Will need to monitor tool crash reports for the next stable release to verify.

Updates the engine.version file from `4c525dac5ebe5971c5708ef73558ed8edcf4a362` to `c416acfeb8126e097f758c664aaa3da929e27da0`.

Add Flutter 3.44 release notes and bug fixes.
Part of #187098