fix: add release workflow permissions

[Essk]

Description

https://github.com/videojs/http-streaming/actions/runs/16449154568/job/46489360362

Looks like the http-streaming release workflow may be suffering the same issues as video.js earlier in the year. I've copied the permissions over, hopefully that fixes it 🤞

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 84.00%. Comparing base (b897317) to head (9c8c688).
Report is 1 commits behind head on main.

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #1584   +/-   ##
=======================================
  Coverage   84.00%   84.00%           
=======================================
  Files          44       44           
  Lines       11710    11710           
  Branches     2625     2625           
=======================================
  Hits         9837     9837           
  Misses       1873     1873           

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