[Feature Request] Support Auto Installing Apps via Shizuku/root in Private Space

### Before you submit

- [x] I have searched the issue tracker for [open](https://github.com/Droid-ify/client/issues) and [closed](https://github.com/Droid-ify/client/issues?q=is%3Aissue+is%3Aclosed) issues that are similar to the feature request I want to file, without success.
- [x] I'm not requesting app support for a specific repo — that's up to repo maintainers
- [x] I understand this might not get built (Droid-ify is maintained by a single person)

### What's the problem?

Usecase: On some Org owned devices, installing apks is only allowed via ADB (or Shizuku).

Manually installing APKs fail (Screenshot)

Even with Shizuku access given, Droidify only installs apps in the "main" user profile (Since Shizuku session runs on the main profile) because the command to install the apk has `--user current`

### What would help?

This FR is to allow an option for a user in main profile install apps inside "Private Space" user profile.

Since `root` mode also uses `pm` commands, this option is applied there as well.

See https://github.com/Droid-ify/client/pull/1291/changes for an example.

UI example How it may look like in settings:

### Alternatives?

Allow Exporting the APK/Split Apk to Downloads, to have Split APK installer install it on both profiles. That works as well (although an extra step).

### Anything else?

_No response_