Make App Manager's Installer behave more like Package installer

### Please check before submitting an issue

- [x] I am using the latest version of App Manager
- [x] I have searched the issues and haven't found anything relevant
- [x] I have read the docs

### Describe a description of the new feature

App Manager's installer should behave more like package installer.

### Describe the solution you'd like

It should check if an application has the permission to install unknown applications. If not, it should either ask if the installer application can install applications or open the settings page where it can be enabled. Installed applications should be attributed to the application where they are installed by default.

### Describe alternatives you've considered

The regular Package installer has the aforementioned behavior but lacks features from App Manager's Installer.

### Additional context

_No response_