chore: extract eslint-plugin-tslint to new repository

[JoshuaKGoldberg]

PR Checklist

• Addresses an existing open issue: fixes Repo: Move eslint-plugin-tslint to a separate repo #8118
• That issue was marked as accepting prs
• Steps in Contributing were taken

Overview

Removes packages/eslint-plugin-tslint and updates the docs to point to https://github.com/typescript-eslint/eslint-plugin-tslint.

[typescript-eslint]

Thanks for the PR, @JoshuaKGoldberg!

typescript-eslint is a 100% community driven project, and we are incredibly grateful that you are contributing to that community.

The core maintainers work on this in their personal time, so please understand that it may not be possible for them to review your work immediately.

Thanks again!

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🟥 Failed Commands
nx run integration-tests:test

✅ Successfully ran 30 targets

• nx test eslint-plugin
• nx test type-utils
• nx test typescript-estree
• nx test visitor-keys
• nx run types:build
• nx test utils
• nx run repo-tools:postinstall-script
• nx test scope-manager
• nx test parser
• nx test typescript-eslint
• nx test rule-schema-to-typescript-types
• nx test eslint-plugin-internal
• nx test repo-tools
• nx test eslint-plugin --coverage=false
• nx test ast-spec
• nx run-many --target=build --parallel --exclude=website --exclude=website-eslint
• nx run-many --target=lint --parallel
• nx run-many --target=typecheck --parallel
• nx test typescript-estree --coverage=false
• nx test visitor-keys --coverage=false
• nx test utils --coverage=false
• nx test type-utils --coverage=false
• nx test eslint-plugin-internal --coverage=false
• nx test typescript-eslint --coverage=false
• nx test scope-manager --coverage=false
• nx test parser --coverage=false
• nx test ast-spec --coverage=false
• nx test repo-tools --coverage=false
• nx test rule-schema-to-typescript-types --coverage=false
• nx run repo-tools:generate-configs

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[JoshuaKGoldberg]

I'll wait to merge these changes until the flat config work lands.

Edit: ✔️