Add flutter format and other checks to CI workflow

[danrmiller]

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[codecov-commenter]

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Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 56.84%. Comparing base (1139770) to head (d9f2dc0).
⚠️ Report is 1596 commits behind head on staging.
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Additional details and impacted files

@@             Coverage Diff              @@
##           staging    #1242       +/-   ##
============================================
+ Coverage     5.36%   56.84%   +51.48%     
============================================
  Files          797       28      -769     
  Lines        75915     1117    -74798     
============================================
- Hits          4075      635     -3440     
+ Misses       71840      482    -71358     

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