chore: split settings component into multiple components for sections

### What is this about?

- split settings component into multiple components for sections
- unit-test each component
- update existing tests

See note on #9905

### Scenario

_No response_

### Design

_No response_

### Technical Details

_No response_

### Threat Modeling Framework

_No response_

### Acceptance Criteria

_No response_

### Stakeholder review needed before the work gets merged

- [x] Engineering (needed in most cases)
- [ ] Design
- [ ] Product
- [ ] QA (automation tests are required to pass before merging PRs but not all changes are covered by automation tests - please review if QA is needed beyond automation tests)
- [ ] Security
- [ ] Legal
- [ ] Marketing
- [ ] Management (please specify)
- [ ] Other (please specify)

### References

See note on #9905

Start by reading the note on issue #9905, then locate the settings component and its existing tests in the TypeScript React Native project. Identify the sections to split, add unit coverage for each resulting component, update the existing tests, and verify the test suite passes.

Written by the indexing model from the issue text.