feat: Use typescript-eslint@v6 & its reworked configs

[JoshuaKGoldberg]

Describe the feature you'd like to request

Following #3482 & coming over from typescript-eslint/typescript-eslint#6760: typescript-eslint is soon going to release a new v6 major version with reworked configurations. You can read up on it here: typescript-eslint.io/blog/announcing-typescript-eslint-v6-beta

Specifically, the configurations are reworked so that the recommended equivalents to what trpc uses now are:

• 'plugin:@typescript-eslint/recommended-type-checked'
• 'plugin:@typescript-eslint/stylistic-type-checked'

Describe the solution you'd like to see

I can send a PR updating to them!

Describe alternate solutions

I suppose trpc could stay on typescript-eslint@v5, or use its own bespoke lint configs... neither option seems very appealing to me. 😄

Additional information

No response

👨‍👧‍👦 Contributing

• 🙋‍♂️ Yes, I'd be down to file a PR implementing this feature!

Funding

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