Update Engine to Android 16 (API 36) (#166796)

Following the directions
[here](https://github.com/flutter/flutter/blob/main/docs/platforms/android/Upgrading-Engine's-Android-API-version.md)
to update engine to android 16.

1. Uploaded api 36 SDK to CIPD using the script from the above docs
2. Updates in Engine to use api 36
     - Updated buildroot
     - Updated SDK CIPD package in `DEPS`
     - Updated android build tools
     - Updated `targetsdk` and `compilesdk`
3. Confirm the engine sucessfully builds. I ran `et build -c
android_debug_unopt_arm64`
4. Bumped the gradle version in this PR due to seeing this warning
[here](https://github.com/flutter/flutter/blob/master/docs/platforms/android/New-Android-version.md#:~:text=Update%20Gradle/AGP%20support).

Note: Post mono-repo merge, we can now update buildroot and `DEPS` in
the same PR  !!! Also, updated the Clang path due to use of a new Clang
version in the bumped ndk.

Partially Addresses #166950

## Pre-launch Checklist

- [x] I read the [Contributor Guide] and followed the process outlined
there for submitting PRs.
- [x] I read the [Tree Hygiene] wiki page, which explains my
responsibilities.
- [x] I read and followed the [Flutter Style Guide], including [Features
we expect every widget to implement].
- [x] I signed the [CLA].
- [x] I listed at least one issue that this PR fixes in the description
above.
- [x] I updated/added relevant documentation (doc comments with `///`).
- [x] I added new tests to check the change I am making, or this PR is
[test-exempt].
- [x] I followed the [breaking change policy] and added [Data Driven
Fixes] where supported.
- [x] All existing and new tests are passing.

If you need help, consider asking for advice on the #hackers-new channel
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[Tree Hygiene]:
https://github.com/flutter/flutter/blob/main/docs/contributing/Tree-hygiene.md
[test-exempt]:
https://github.com/flutter/flutter/blob/main/docs/contributing/Tree-hygiene.md#tests
[Flutter Style Guide]:
https://github.com/flutter/flutter/blob/main/docs/contributing/Style-guide-for-Flutter-repo.md
[Features we expect every widget to implement]:
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[CLA]: https://cla.developers.google.com/
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https://github.com/flutter/flutter/blob/main/docs/contributing/Tree-hygiene.md#handling-breaking-changes
[Discord]:
https://github.com/flutter/flutter/blob/main/docs/contributing/Chat.md
[Data Driven Fixes]:
https://github.com/flutter/flutter/blob/main/docs/contributing/Data-driven-Fixes.md