Resolve "Fix test flakiness"

Description

All tests which within the last 3 months have experienced flaky test timings in the GitLab CI pipeline have been identified and their deadlines have been removed (i.e. ht.settings(deadline=None)).

Generally, most of these flaky tests were related to filtering, where the tests of the recently added generic annotation filter were the most prominent.

Proper type annotations to the affected test files have also been added.

Notes to review (code/docs/QA)

Related issues

Closes #2314 (closed)