[Feature Request]: `Fetch feed automatically for each profile` setting

### Guidelines

- [x] I have [searched the issue tracker for open and closed issues](https://github.com/FreeTubeApp/FreeTube/issues?q=is%3Aissue+sort%3Arelevance-desc) that are similar to the feature request I want to file, without success.
- [x] I have searched the [documentation](https://docs.freetubeapp.io/) for information that matches the description of the feature request I want to file, without success.
- [x] This issue contains only one feature request.

### Problem Description

This is a follow-up on [this bug report](https://github.com/FreeTubeApp/FreeTube/issues/6089) as it's apparently intended behaviour.

The current setting `Fetch feed automatically` only automatically fetches the default profile. There is currently no way to make other profiles be automatically fetched when switched to.

### Proposed Solution

This new setting is so that when a user switches to a different profile then it'll automatically fetch. This should probably only occur once for each profile in case a user is switching back and forth. If FreeTube is fully closed and then reopened however then this should reset and automatically fetch each profile again when switched to.

### Alternatives Considered

N/A

### Issue Labels

ease of use improvement, improvement to existing feature, new optional setting

### Additional Information

N/A