fix(ci): dispatch release checks explicitly

[hadrien]

Problem\n\n- The stored release PAT is invalid.\n- Built-in token pushes do not automatically start required CI workflows.\n\n# Solution\n\n- Add manual dispatch support to the existing CI workflow.\n- Dispatch CI on the temporary release ref with the built-in token.\n- Wait for the exact release SHA before atomic promotion.\n- Publish release notes and PyPI from the originating workflow.\n- Dispatch documentation for the promoted tag.\n- Remove the PAT dependency without weakening main protection.\n\nfs-3z4

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 97.74%. Comparing base (97f6381) to head (dcd5fe9).
⚠️ Report is 1 commits behind head on main.

Additional details and impacted files

@@           Coverage Diff           @@
##             main     #131   +/-   ##
=======================================
  Coverage   97.74%   97.74%           
=======================================
  Files           1        1           
  Lines         133      133           
  Branches        7        7           
=======================================
  Hits          130      130           
  Misses          3        3           

Flag	Coverage Δ
fastapi-post121	97.74% <ø> (?)
fastapi-pre121	97.74% <ø> (ø)
sqlmodel	97.74% <ø> (ø)

Flags with carried forward coverage won't be shown. Click here to find out more.

☔ View full report in Codecov by Harness.
📢 Have feedback on the report? Share it here.