Change Request: Set up typescript-eslint

[nzakas]

Which packages would you like to change?

• @eslint/compat
• @eslint/config-array
• @eslint/migrate-config
• @eslint/object-schema

What problem do you want to solve?

We have several packages that have at least one .ts file, but we have no automation aside from running tsc to check its validity.

What do you think is the correct solution?

We should set up typescript-eslint to lint all .ts files. This will double as an integration test for us with typescript-eslint.

Participation

• I am willing to submit a pull request for this change.

Additional comments

@JoshuaKGoldberg feel like taking this one?

[JoshuaKGoldberg]

I'd love to. 🙂

[JoshuaKGoldberg]

I think I should wait until #68 is in.