chore(ci): remove write perms on winget workflow (#9598)

This wasn't the issue - the issue was that @firezone-bot needed access
to the firezone/winget-pkgs repo.

Co-authored-by: Thomas Eizinger <thomas@eizinger.io>

.github/workflows/publish-to-winget.yml

@@ -13,9 +13,6 @@ jobs:
   publish_clients:
     name: Publish ${{ matrix.identifier }} to winget
     runs-on: windows-latest-xlarge
-    permissions:
-      contents: write
-      packages: write
     strategy:
       matrix:
         include: