Make persistent 'private tabs' notification distinct from Firefox's

Summary

Summarize the bug encountered concisely.

Regression in 14.0, Used to look like this

Steps to reproduce:

How one can reproduce the issue - this is very important.

1. Open a tab in TBA alpha (14.0a4 shown below)
2. Open a private tab in Firefox (129.0.2 shown below)
3. Background both apps and notice that the collapsed notifications are identical, and the only difference is in the name once they are both expanded (shown below)
4. (optional) open TBA release (13.5.3 shown below) and notice it used to say Tor Browser (Private)

What is the current bug behavior?

What actually happens.

Identical persistent notification to Firefox

What is the expected behavior?

What you want to see instead

Distinguished persistent notification to Firefox

Environment

Which operating system are you using? For example: Debian GNU/Linux 10.1, Windows 10, Ubuntu Xenial, FreeBSD 12.2, etc. Which installation method did you use? Distribution package (apt, pkg, homebrew), from source tarball, from Git, etc.

Versions posted above

Relevant logs and/or screenshots