chore: change how relationship integrity tests watch to hopefully remove the flakiness

[josephschorr]

No description provided.

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 79.42%. Comparing base (e55404b) to head (0d99e9d).
⚠️ Report is 3 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #2677      +/-   ##
==========================================
- Coverage   79.46%   79.42%   -0.03%     
==========================================
  Files         455      456       +1     
  Lines       47161    47321     +160     
==========================================
+ Hits        37470    37581     +111     
- Misses       6945     6976      +31     
- Partials     2746     2764      +18     

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