if you looking for a good alternative for google search, try "SearXNG"
actually awesome and fast search engine (depending on which instance you use) with no trashy AI and ADs results also great for privacy, if you don't know which instance to use go to https://searx.space/ and choose an instance closest to you
I couldn't figure out a way in Brave, it won't let you set a custom URL for the default browser. Firefox allowed it to just change the customer browser link in the format of
Couldn't find an APK to test vanadium, I assume it may be exclusive to GrapheneOS?
(I just called it test for this, so name it something you'll recognize in a few months)
Once the Default browser is changed in Firefox/chrome, their widgets pull that information from the app, so it just searches that way.