Summary

Fixes #5948, hopefully

When using the system's Health Connect implementation you cannot update Health Connect, so add a check for the background read permission to only request it if supported. Also see: #5510

Checklist

• New or updated tests have been added to cover the changes following the testing guidelines. - I tried adding one, please let me know if it's adequate.
• The code follows the project's code style and best_practices.
• The changes have been thoroughly tested, and edge cases have been considered.
• 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

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Link to pull request in documentation repositories

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Any other notes