I was struggling with the same issue. I would access a page now and in the future, when typing the same address in the address bar nothing would come up.
I did a minimal Windows 11 install using a few tools, and those tools altered my Registry. I tried several changes in HKEY_CURRENT_USER's folder but then I decided to check HKEY_LOCAL_MACHINE and they were disabled there.
In the Edge settings it said they were managed by an organization in my computer that's why I decided to check on the HKEY_LOCAL_MACHINE folder as the HKEY_CURRENT_USER wasn't sufficing.
To fix this go to: HKEY_LOCAL_MACHINE/SOFTWARE/Policies/Microsoft/Edge
Then set the keys (AddressBarMicrosoftSearchInBingProviderEnabled, AutofillAddressEnabled, LocalProvidersEnabled, SearchSuggestEnabled) below to "1".
If you want to read the documentation on these policies/keys you can read about them here:
https://learn.microsoft.com/en-us/deployedge/microsoft-edge-policies
