Update release workflow to use Trusted Publishing

[cdce8p]

Refs pylint-dev/pylint#10256

[Pierre-Sassoulas]

Thank you again ! LGTM, let's see if anything went wrong in pylint before merging to avoid churn.

[github-actions]

The backport to maintenance/3.3.x failed:

The process '/usr/bin/git' failed with exit code 1

To backport manually, run these commands in your terminal:

# Fetch latest updates from GitHub
git fetch
# Create a new working tree
git worktree add .worktrees/backport-maintenance/3.3.x maintenance/3.3.x
# Navigate to the new working tree
cd .worktrees/backport-maintenance/3.3.x
# Create a new branch
git switch --create backport-2696-to-maintenance/3.3.x
# Cherry-pick the merged commit of this pull request and resolve the conflicts
git cherry-pick -x --mainline 1 249bccf4f29548087c7efcb1a23d788850e77179
# Push it to GitHub
git push --set-upstream origin backport-2696-to-maintenance/3.3.x
# Go back to the original working tree
cd ../..
# Delete the working tree
git worktree remove .worktrees/backport-maintenance/3.3.x

Then, create a pull request where the base branch is maintenance/3.3.x and the compare/head branch is backport-2696-to-maintenance/3.3.x.