Clean up Dependency Handling

[blink1073]

Fixes #699

[blink1073]

It looks like we need to do this at the jupyter_client level first to catch the errors there that we're inheriting relating to task awaits and file descriptors left open.

[blink1073]

I'll open a new issue for filterwarnings so we can get the rest of the fixes in.

[codecov-commenter]

Codecov Report

Merging #707 (9907355) into main (eccdfa6) will not change coverage.
The diff coverage is n/a.

@@           Coverage Diff           @@
##             main     #707   +/-   ##
=======================================
  Coverage   70.92%   70.92%           
=======================================
  Files          62       62           
  Lines        7490     7490           
  Branches     1187     1187           
=======================================
  Hits         5312     5312           
  Misses       1821     1821           
  Partials      357      357           

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