This is a manual cherry pick of #177416 to beta.

Impacted Users (Approximately who will hit this issue, ex. all Flutter devs, Windows developers, all end-customers, apps using X framework feature).
Flutter devs who ship to Android. Template versions are changing.

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 shipping a production app? ex. the app crashes on launch).
Affects flutter build to android.

Workaround (Is there a workaround for this issue?)
Use compatible depency versioning.

Risk (What is the risk level of this cherry-pick?)
Low

Test Coverage (Are you confident that your fix is well-tested by automated tests?)
Yes. Integration tests with new versioning have passed.

Validation Steps (What are the steps to validate that this fix works?)
Ran flutter analyze --suggestions and flutter build apk to verify versioning combination is valid.

I bumped templates to the correct versions. I also included a fix for kgp and agp compatability.

AGP 8.11.0 -> 8.11.1
Gradle 8.13 -> 8.14
KGP 2.2.0 -> 2.2.20

I ran flutter analyze --suggestions and flutter build apk to ensure these are safe versions.

Will cherry pick this to beta after the pr merges.

Fixes #177320

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• I updated/added relevant documentation (doc comments with ///).
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• I followed the breaking change policy and added Data Driven Fixes where supported.
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Contributor Guide:
https://github.com/flutter/flutter/blob/main/docs/contributing/Tree-hygiene.md#overview 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:
https://github.com/flutter/flutter/blob/main/docs/contributing/Style-guide-for-Flutter-repo.md#features-we-expect-every-widget-to-implement CLA: https://cla.developers.google.com/
flutter/tests: https://github.com/flutter/tests
breaking change policy:
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

Replace this paragraph with a description of what this PR is changing or adding, and why. Consider including before/after screenshots.

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Pre-launch Checklist

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

If you need help, consider asking for advice on the #hackers-new channel on Discord.

Note: The Flutter team is currently trialing the use of Gemini Code Assist for GitHub. Comments from the gemini-code-assist bot should not be taken as authoritative feedback from the Flutter team. If you find its comments useful you can update your code accordingly, but if you are unsure or disagree with the feedback, please feel free to wait for a Flutter team member's review for guidance on which automated comments should be addressed.