ci: remove quill_native_bridge from automated publishing workflow

Description

Remove quill_native_bridge from the automated publishing workflow.

quill_native_bridge will no longer have the same version as flutter_quill and will be separated (while remaining in the same repo).

When publishing a new version, quill_native_bridge doesn't get a new version publishing automatically.

See #2230 and #2262 for more details about why this decision was made.

quill_native_integration will replace quill_native_bridge soon. This is not a breaking change as this package is for internal use only.

[ ] ✨ New feature: Adds new functionality without breaking existing features.
[ ] 🛠️ Bug fix: Resolves an issue without altering current behavior.
[ ] 🧹 Code refactor: Code restructuring that does not affect behavior.
[ ] ❌ Breaking change: Alters existing functionality and requires updates.
[ ] 🧪 Tests: Adds new tests or modifies existing tests.
[ ] 📝 Documentation: Updates or additions to documentation.
[x] 🗑️ Chore: Routine tasks, or maintenance.
[x] ✅ Build configuration change: Changes to build or deploy processes.