There is much that I love about Windows 11. Some things are not acceptable, though. One negtive thing about Windows 11 is web searching in the Start Menu. The best solution appears to be either replacing or supplementing the Start Menu. What I do is leave the Windows 11 Start Menu where it is and have the Open Shell Menu to the left. Searching on the Open Shell Menu will give you results from your computer. I pinned directories so I can organize all my installed apps. Since I use two monitors the Open Shell Menu appears on both screens.
Here are a few Start Menu replacements to choose from.