fix: Improve templating around documentation and cli renaming.

[jeanplevesque]

GitHub Issue: #

Proposed Changes

• Bug fix
• Feature
• Code style update (formatting)
• Refactoring (no functional changes, no api changes)
• Build or CI related changes
• Documentation content changes
• Other, please describe:

What is the current behavior?

• The template is mentioned in the documentation of apps generated via the cli tool.
• The "React Native App Template" is still used in CLAUDE.md and documentation in generated apps.

What is the new behavior?

• The "template" or "React Native App Template" is no longer mentioned in generated apps.

Checklist

Please check that your PR fulfills the following requirements:

• Documentation has been added/updated.
• Automated tests for the changes have been added/updated.
• Updated BREAKING_CHANGES.md (if you introduced a breaking change).

Other information