I am getting this problem as of this month's update. I have latest edge and webview2 runtime. (if you need that screenied too I can provide it)
Hi Umbs:
We're both on Win 10 Version 22H2 / Build 19045.5131 and Experience Pack v1000.19060.1000.0 (although I have the Professional edition, not your Home edition) so I have no idea why instances of msedgewebview2.exe and SearchApp.exe are still appearing under a process called News and Interests your Task Manager.
The first thing I would do is to ensure you have DISABLED your Windows Fast Startup power option (see my 13-Nov-2024 instructions <above>) just in case Fast Startup is interfering with your software updates.
If you decide to attempt the repair install (in-place upgrade) recommended today by CarlosUthred I'd suggest you read Susan Bradley's tutorial on the AskWoody.com site at 6000015 – Repair Install of Windows 10 22H2 first for a few hints. Before trying a repair install I'd also suggest you restart your system and run the DISM and System File Checker (SFC) commands shown in my 14-Nov-2024 post <above> just in case these diagnostic scans can fix your problem.
I don't know if it's relevant, but I should mention that Firefox is my default browser, and when an update is released for MS Edge I'll open it briefly to allow it to auto-update or just trigger a manual update at Settings | About Microsoft Edge ***. I've also changed my default search engine from Bing to a custom search engine I added for Google Canada (google.ca) at Settings | Privacy, Search and Services | Address Bar and Search | Manage Search Engines, and I don't want MS Edge constantly running in the background when this browser is closed so I've turned OFF these two options at Settings | System and Performance | System:
*** which just upgraded me to MS Edge v131.0.2903.48 today and seems to have removed the Microsoft Edge WebView2 Runtime from Control Panel | Programs | Programs and Features*, which was unexpected. FYI, there's still no sign of News and Interests in my Task Manager after a system restart.*

Dell Inspiron 15 5584 * 64-bit Win 10 Pro v22H2 build 19045.5131 * Firefox v132.0.2 * Microsoft Defender v4.18.24090.11-1.1.24090.11 * Malwarebytes Premium v5.2.1.144-1.0.5088 * Macrium Reflect Free v8.0.7783 * Microsoft Edge v131.0.2903.48