feat(examples): with eslint flat config

[jnlsn]

Description

I recently went through the headache of upgrading to ES Lint's flat config for a project and wanted to share what I learned here. I have cloned the basic example under with-eslint-flat-config and updated configs to be as close to the basic example while using the new flat structure. I'm happy to make this change elsewhere and/or update documentation if that is preferable. Feedback appreciated; please let me know how I can help.

Related to: #7909

Testing Instructions

1. navigate to examples/with-eslint-flat-config
2. pnpm i
3. pnpm lint

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New dependencies detected. Learn more about Socket for GitHub ↗︎

Package	New capabilities	Transitives	Size	Publisher
npm/@eslint/[email protected]	None	0	47.7 kB	eslintbot
npm/@eslint/[email protected]	filesystem, unsafe	+3	894 kB	eslintbot
npm/@eslint/[email protected]	None	0	14.2 kB	eslintbot
npm/@types/[email protected]	None	0	196 kB	types
npm/@typescript-eslint/[email protected]	None	+6	4.39 MB	jameshenry
npm/@typescript-eslint/[email protected]	None	+4	1.4 MB	bradzacher, jameshenry
npm/[email protected]	unsafe	+5	1.38 MB	vercel-release-bot
npm/[email protected]	environment Transitive: filesystem	+8	3.6 MB	eslintbot
npm/[email protected]	None	0	174 kB	sindresorhus
npm/[email protected]	None	+5	1.76 MB	jameshenry

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[dugan-dev]

Thanks @jnlsn! I was able to mirror this PR in my repo to get everything working without issue.