Add option to set HA as launcher

[fpetrovski]

Summary

This PR is related to #5023 where it was discussed to allow HA Companion app to become a launcher. A new option was added to the preference settings, under "Other Settings" Preference Category.

Checklist

• [ ] New or updated tests have been added to cover the changes following the testing guidelines.
• [x] The code follows the project's code style and best_practices.
• [x] The changes have been thoroughly tested, and edge cases have been considered.
• [x] Changes are backward compatible whenever feasible. Any breaking changes are documented in the changelog for users and/or in the code for developers depending on the relevance.

Screenshots

Any other notes

[fpetrovski]

Here's an updated video of the feature: https://github.com/user-attachments/assets/47e36894-3b5c-45f0-8d8c-a53f37721c23

I'm not too confident about the icons and I'm open to suggestions :)

[TimoPtr]

Thanks @fpetrovski for your contribution 💪🏻