Update example to use hatch

[blink1073]

Fixes #858

[codecov]

Codecov Report

Base: 79.93% // Head: 79.91% // Decreases project coverage by -0.02% ⚠️

Coverage data is based on head (b2f9252) compared to base (a6dea1b).
Patch has no changes to coverable lines.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #1169      +/-   ##
==========================================
- Coverage   79.93%   79.91%   -0.03%     
==========================================
  Files          68       68              
  Lines        8124     8124              
  Branches     1601     1601              
==========================================
- Hits         6494     6492       -2     
- Misses       1205     1207       +2     
  Partials      425      425              

Impacted Files	Coverage Δ
jupyter_server/extension/handler.py	67.69% <0.00%> (-1.54%)	⬇️
jupyter_server/gateway/managers.py	83.13% <0.00%> (-0.24%)	⬇️

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