For reference I decided to checked if to see it I’m having this same problem with other browsers.
Of the other browsers, Chrome, Edge and Firefox NONE of them switched to Bing when doing a Google search.
While doing a Google search in FireFox I found that this problem is a common occurrence with Brave dating back years. This is a bug that needs to be fixed.
I did find a workaround that cured this problem
https://support.google.com/chrome/thread/47617506/my-default-search-engine-is-google-but-the-url-redirects-me-to-bing-yahoo?hl=en