Re-enable ESLint `no-console` & move Cypress component tests to `tests/` dir

[MetRonnie]

• Re-enable no-console ESLint rule for console.log() and console.debug()
  • This was seemingly accidentally lost at some point
  • Left it off for console.warn() and console.error() as we do that often enough
• Move Cypress component tests into tests/ dir for consistency with E2E tests

Check List

• [x] I have read CONTRIBUTING.md and added my name as a Code Contributor.
• [x] Contains logically grouped changes (else tidy your branch by rebase).
• [x] Does not contain off-topic changes (use other PRs for other changes).