CI: Always run clipboard tests on GHA Linux
- [ ] [Tests added and passed](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#writing-tests) if fixing a bug or adding a new feature


backport? as its changing the CI config > backport? as its changing the CI config

Yup, that would be a good idea. @meeseeksdev backport 1.4.x Something went wrong ... Please have a look at my logs.