Delete unused code-analysis script (#55421)

Summary:
Pull Request resolved: https://github.com/facebook/react-native/pull/55421

Deletes the largely unused `analyze_code`/`code-analysis-bot` script, which was part of our earlier CircleCI infra.

**Motivation**

- **Security**: Removes another use of a `GITHUB_TOKEN` env var being loaded into a script in our CI (similar to S603729).
- **Cleanup**: This script attempted to read various lint job results (including google-java-format, which is no longer present), and post a GitHub PR comment for >5 issues. In a GitHub Actions world, we don't really need this functionality.

**Other changes**

- The `yarn shellcheck` run from this script was load bearing, and is moved directly into the `lint` action.

Changelog: [Internal]

Reviewed By: cipolleschi

Differential Revision: D92407627

fbshipit-source-id: ef5664a273ad4aac721dbb53de73f2b96b47d75b