chore(website): [playground] update options selector

[armano2]

PR Checklist

• That issue was marked as accepting prs
• Steps in Contributing were taken

Overview

migrate optionsSelector changes from #6656

there should not be any visual or functional changes, this is just refactor/cleanup of the code, remove unused css, move css to to standalone css files for components that are actually using it
useClipboard is an exact copy of change done in #6728

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✅ Successfully ran 30 targets

• Node 18 - nx test eslint-plugin
• Node 14 - nx test eslint-plugin --coverage=false
• nx run-many --target=lint --parallel
• nx run-many --target=build --projects=website-eslint,website
• nx run-many --target=typecheck --parallel
• nx run integration-tests:test
• Node 18 - nx test type-utils
• nx run types:build
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• Node 18 - nx test utils
• Node 18 - nx test visitor-keys
• Node 18 - nx test typescript-estree
• Node 14 - nx test typescript-estree --coverage=false
• Node 18 - nx test ast-spec
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• Node 14 - nx run types:build
• Node 14 - nx test ast-spec --coverage=false
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• Node 18 - nx test eslint-plugin-internal
• Node 14 - nx test parser --coverage=false
• Node 18 - nx test eslint-plugin-tslint
• Node 14 - nx test utils --coverage=false
• Node 18 - nx test parser
• Node 14 - nx test type-utils --coverage=false
• Node 14 - nx test eslint-plugin-tslint --coverage=false
• Node 14 - nx test visitor-keys --coverage=false
• Node 18 - nx test repo-tools
• nx run-many --target=build --parallel --exclude=website --exclude=website-eslint

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[JoshuaKGoldberg]

👍 great!