Prerequisites checklist

• I have read thecontributing guidelines.

What is the purpose of this pull request? (put an "X" next to an item)

[ ] Documentation update
[ ] Bug fix (template)
[ ] New rule (template)
[ ] Changes an existing rule (template)
[ ] Add autofix to a rule
[ ] Add a CLI option
[ ] Add something to the core
[x] Other, please explain: internal-only change

What changes did you make? (Give an overview)

Split out of#19354: removes all formatting-related lint rules from core. This way themain branch will not be broken by adding in formatting-related configuration settings in a different PR from the formatting changes themselves. See#19354.

Also updatestools/update-rule-type-headers.js to print tabs, since printing spaces will cause a conflict once the Prettier settings from#19354 &#19355 are applied.

Is there anything you'd like reviewers to focus on?

The intended merge order of PRs to avoidmain branch CI failures is:

1. 👉chore: remove formatting-related lint rules internally #19473 (this one): to remove any CI check that would fail on the upcoming new formatting
2. chore: formatted files with Prettier via trunk fmt #19355: applies new formatting rules, and should be squash-merged to make a single commit for.git-blame-ignore-revs
3. chore: enabled Prettier in Trunk #19354: adds Prettier checks in CI and as commit hooks via Trunk