This is pretty much the same issue as https://sourceforge.net/p/keepass/bugs/2347/ but while I never saw this issue on Windows 10 anymore after the fix I see it now on a laptop that I recently got that runs Windows 11 25H2 with KeePass 2.61.1.
On that system LibreWolf is the only installed browser but in the URL context menu I'm seeing "Open with LibreWolf" with its icon and "Open with Microsoft Edge" without any icon.
To give the same information as from the other report:
HKEY_LOCAL_MACHINE\SOFTWARE\Clients\StartMenuInternet
There are 2 keys ("IEXPLORE.EXE" and "LibreWolf") with one or more subkeys each.
HKEY_CURRENT_USER\Software\Clients\StartMenuInternet
The "Clients" key does not exist at all.
HKEY_CLASSES_ROOT\microsoft-edge
The "(Standard)" entry contains "URL:microsoft-edge" and the REG_SZ entry "URL Protocol" is empty. Otherwise there are only subkeys going to "shell -> open -> command" and the "(Standard)" entry contains "C:\Program Files (x86)\Microsoft\Edge\Application\pwahelper.exe --launch-edge-store-page --single-argument %1".
C:\ProgramFiles(x86)\Microsoft
In "C:\ProgramFiles(x86)" the directories "Internet Explorer" and "Microsoft" (with several Edge-related subdirectories) are there. The "Edge" subdirectory is also still there with some remains (4.73 MB) and one of them is "Application -> pwahelper.exe" from the registry entry above.
Another minor thing I noticed: While Windows 10 with Firefox shows me both URL entries ("Open with Firefox" and "Open with Firefox (Private)") Windows 11 with LibreWolf is missing the private browsing URL entry in KeePass.