refactor: Use types from @eslint/core (#20168)

* refactor: Use types from @eslint/core

* Update lib/types/index.d.ts

Co-authored-by: Francesco Trotta <[email protected]>

* RulesRecord -> RulesConfig

* Replace more types

* Clean up RulesRecord/RulesConfig

* Fix type errors

* Remove extraneous types

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Co-authored-by: Francesco Trotta <[email protected]>

Author: nzakas