chore(ci): Pre-commit on the public image

[JR-Morgan]

It would be better to run the pre-commit hook on the public image workflow.

I'm thinking that community contributed PRs may see the the internal test job fail. It would be nice if the one that does run has the pre-commit.

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 90.61%. Comparing base (8a76006) to head (225b1e9).
⚠️ Report is 1 commits behind head on main.

Additional details and impacted files

@@           Coverage Diff           @@
##             main     #460   +/-   ##
=======================================
  Coverage   90.61%   90.61%           
=======================================
  Files         138      138           
  Lines        6373     6373           
=======================================
  Hits         5775     5775           
  Misses        598      598           

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