Tab tray - inconsistency for website name in private mode

[dragosb01]

Steps to reproduce

Run automation test XCUITests/NavigationTest#testOpenInNewPrivateTab
Remove the workaround in order to reproduce the issue
or

1. Open an webpage and long-tap on an article link
2. Choose "Open in New Private Tab"
3. The article is loaded in a new private tab
4. Go to tab tray and quickly change to private tab.

Expected behavior

Need to determine the expected behavior, given the test is using a local website, not sure what domain should be shown under the tab.

Actual behavior

As you can see on the video attached on a first reach of private tab www.iana.org domain is under the tab
After switching back from regular to private mode, example domains is shown under the tab

Device & build information

• Device: iPhone 16, iOS 18.2 simulator
• Build version: 138, 137
• First seen version: Yes

Notes

https://mozilla.testrail.io/index.php?/cases/view/2441773
Attachments:

Screen.Recording.2025-03-04.at.08.25.21.mov

┆Issue is synchronized with this Jira Task