Unfortunately, I don't think I can help you much.
I noticed the problem a couple of months ago, I think, and I thought Windows Updates would fix it.
My current system version is as follows:
Edizione Windows 11 Pro (Italian Language)
Versione 24H2
Data installazione: 12/11/2024
Build sistema operativo 26100.4770
Esperienza Pacchetto di esperienze per funzionalità Windows 1000.26100.197.0
I can say that I always keep Windows up to date.
The system is set up for multi-user access (me, my wife, and my daughter).
I add that, when accessing with my wife's account (of course, on the same machine), the classic MS Edge icon is visible in the taskbar.
The main installed applications are: Office 2021 (Home Edition), two browsers (MS Edge, my most used browser, and Firefox), Visual Studio 2022 (Community Edition), VS Code, and other minor programs.
I must say that for programming (as a hobbyist) I rarely use the machine due to the Edge icon issue.
I can add that I've compiled (with VS2022) a number of open-source Win32 example programs that come with David Nash's Win32++ library (https://github.com/DavidNash2024/Win32xx). Two of these programs use the WebView2 (MS Edge) SDK.