Add IconPicker to New Tab Menu folders in SUI

[carlos-zamora]

Summary of the Pull Request

This PR pulls out the icon picker used in Profiles_Base.xaml to be its own control. Then it's reused as a way to set an icon on folders in the new tab menu.

As a part of pulling out the icon picker into its own control, some minor code-health polish was added (i.e. lazy loading icon types and built in icons).

The new tab menu didn't have a NavigateToPageArgs, so I took the declaration from #19519 and moved it here. I chose to do that instead of creating a NavigateToNewTabMenuArgs since that's more strict and it would be removed as a part of #19519 anyways.

Aside from that, the PR is pretty straightforward.

References and Relevant Issues

Part of #18281

Validation Steps Performed

• Profile icon picker
  • set none
  • set built-in icon
  • set emoji
  • set file
  • loads icons properly (for all of the scenarios above)
• New tab menu folder icon picker
  • set none
  • set built-in icon
  • set emoji
  • set file
  • loads icons properly (for all of the scenarios above)

[carlos-zamora]

Demo