ci: remove quill_native_bridge from automated publishing workflow

[EchoEllet]

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.

Related Issues

• Related chore: remove pubspec_overrides.yaml and pubspec_overrides.yaml.disabled #2262
• Related feat: Use quill_native_bridge as default impl in DefaultClipboardService, fix related bugs in the extensions package #2230

Type of Change

• ✨ 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.
• 🗑️ Chore: Routine tasks, or maintenance.
• ✅ Build configuration change: Changes to build or deploy processes.

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