I’ve been running Linux on all my computers for literally decades. But I’ve just started an online course and the college requires Edge — not Chromium, must be Edge. Yes, I’ve changed useragent, only Edge will work. Grrrr.
For search engines, this is an interesting list: A look at search engines with their own indexes. It doesn't cover every possible Bing frontend, but it gives you some idea of where else to try if your default search engine gives you nothing.
As for web browsers, a short practical list broken down by rendering engine looks like this:
Webkit-based: Safari
Blink-based: Chrome, Chromium, Edge, Vivaldi, Brave, Opera