[Description:]

When live switching language twice, the search bar dropdown search label remains unchanged.

[Environment:]

Firefox 100.0b4, latest Nightly 101.0a1
Mac 11, Windows 10, Ubuntu 22

[Preconditions:]

Configs:
user_pref("intl.multilingual.downloadEnabled", true);
user_pref("intl.multilingual.enabled", true);
user_pref("intl.multilingual.liveReload", true);
user_pref("browser.search.log", true);

Install Languages:
about:preferences /Language - Search More Languages/Select Language to add / Add.

[Steps:]

1. Install a Firefox locale, en-us for example (autoset region not that relevant).
2. Locate languages and install a few languages: fr, en, cn
3. Open about:preferences / Search and enable Search Bar
4. Open about:preferences / Language.
5. Switch the language to anything previously added (e.g. fr).
6. Open the Search Bar dropdown and observe the search label.
7. Switch the language again and redo step 6

[Actual Result:]

The search label remains unchanged in the language after the first switch (step 5).

[Expected Result:]

The search bar label is switched to the switched localization.

[Note:]

The search bar label is set correctly after restart.