Add more serverapp tests

[blink1073]

Also upload coverage from integration tests

[codecov]

Codecov Report

Base: 76.53% // Head: 78.01% // Increases project coverage by +1.48% 🎉

Coverage data is based on head (615bb03) compared to base (f583a11).
Patch has no changes to coverable lines.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #1079      +/-   ##
==========================================
+ Coverage   76.53%   78.01%   +1.48%     
==========================================
  Files          68       68              
  Lines        8305     8298       -7     
  Branches     1655     1652       -3     
==========================================
+ Hits         6356     6474     +118     
+ Misses       1542     1424     -118     
+ Partials      407      400       -7     

Impacted Files	Coverage Δ
jupyter_server/base/handlers.py	67.82% <0.00%> (+0.84%)	⬆️
jupyter_server/auth/identity.py	86.28% <0.00%> (+1.51%)	⬆️
jupyter_server/utils.py	83.79% <0.00%> (+5.02%)	⬆️
jupyter_server/serverapp.py	76.76% <0.00%> (+8.92%)	⬆️
jupyter_server/auth/authorizer.py	100.00% <0.00%> (+15.38%)	⬆️
jupyter_server/services/shutdown.py	100.00% <0.00%> (+23.07%)	⬆️

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