[Bug] A page shortcut created in Private Mode should open in Private Mode and reflect this visually.

[klint]

Steps to reproduce

Open Fenix in Private Mode (either directly by the new Private Mode Shortcut on homescreen, or by switching from Non-Private mode on Fenix home page).
Visit a page
Create a page shortcut on the homescreen by "Add to homescreen"

Expected behavior

The pop-ups to create the page shortcut should display the Private mode application icon.
The page shortcut on homescreen should display a small Private mode application icon in the corner.
The shortcut should open the page in Private mode, whatever mode was active previously

Actual behavior

The pop-ups to create the page shortcut display the Non-Private mode application icon.
The page shortcut on homescreen displays a small Non-Private mode application icon in the corner.
The shortcut opens the page in Non-Private mode if the applications was last open in Non-Private mode.

Device information

• Android device: Redmi Note 7
• Fenix version: Build 12580614

┆Issue is synchronized with this Jira Task

[liuche]

For now, to both minimize confusion (a user needs to remember which state they saved it in) and technical maintenance of another branch state, we're not doing this feature, because we've added a way for users to choose:
a) whether to open all links in Private Mode
b) if no default browser is set, to open in private or non-private in #5742 and #514

I know this doesn't exactly fix the issue you're asking for, but these are workarounds to allow you to choose how you open specific shortcuts, and we may revisit this issue in the future.