Fix #7952: Opening link in private tab will bypass biometrics authentication

[soner-yuksel]

Summary of Changes

The conditions of opening in private tab is handled

• Context menu open in private tab
• Context menu open in private window
• Playlist context menu open in new private tab
• Playlist share open in new private tab
• NTP favourite open in new private tab
• NTP favourite show more open in private tab
• Bookmarks open in a new private tab
• History open in new private tab
• Bottom bar long press middle icon action open in new private tab
• News open in new Private tab

This pull request fixes #7952

Submitter Checklist:

• Unit Tests are updated to cover new or changed functionality
• User-facing strings use NSLocalizableString()
• New or updated UI has been tested across:
  • Light & dark mode
  • Different size classes (iPhone, landscape, iPad)
  • Different dynamic type sizes

Test Plan:

The test plan is determined in the ticket

Screenshots:

Context menu open in private tab - Context menu open in private window

RPReplay_Final1693231040.MP4

Playlist context menu open in private tab
- Playlist share open in private tab

RPReplay_Final1693231300.MP4

NTP favourite open in private new tab - NTP favourite show more open in new private tab

RPReplay_Final1693231447.MP4

Bookmarks open in a new private tab

RPReplay_Final1693232666.MP4

History open in new private tab

RPReplay_Final1693232928.MP4

Bottom bar long press middle icon action open in new private tab

RPReplay_Final1693233103.MP4

News open in new private tab

RPReplay_Final1693233324.MP4

Reviewer Checklist:

• Issues include necessary QA labels:
  • QA/(Yes|No)
  • bug / enhancement
• Necessary security reviews have taken place.
• Adequate unit test coverage exists to prevent regressions.
• Adequate test plan exists for QA to validate (if applicable).
• Issue and pull request is assigned to a milestone (should happen at merge time).

[soner-yuksel]

All scenarios are tested after the changes and there is video uploaded in description for all of them