[actions] Enable Linux integration tests when using merge_queue

[codecov[bot]]

Codecov Report

All modified and coverable lines are covered by tests :white_check_mark:

Project coverage is 88.81%. Comparing base (981b86c) to head (8c627aa).

Additional details and impacted files

```diff @@ Coverage Diff @@ ## main #3526 +/- ## ======================================= Coverage 88.81% 88.81% ======================================= Files 253 253 Lines 14121 14121 ======================================= Hits 12542 12542 Misses 1579 1579 ```

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[ricab]

I don't think this worked, so closing, but let's come back to this as a reference.