refactor: rm node_mods caching in release workflow

[jsjoeio]

We believe this is causing issues with the 4.9.1 release we're doing right now so we've decide to remove caching in the release workflow for now.

[github-actions]

✨ code-server dev build published to npm for PR #5895!

• Last publish status: success
• Commit: d406059

To install in a local project, run:

npm install @coder/code-server-pr@5895

To install globally, run:

npm install -g @coder/code-server-pr@5895

[codecov]

Codecov Report

Merging #5895 (d406059) into main (9012ddf) will not change coverage.
The diff coverage is n/a.

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #5895   +/-   ##
=======================================
  Coverage   74.94%   74.94%           
=======================================
  Files          30       30           
  Lines        1688     1688           
  Branches      371      371           
=======================================
  Hits         1265     1265           
  Misses        361      361           
  Partials       62       62           

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