Hello all, I have an unconventional idea. Is it possible for the default search engine in Firefox to be randomized at each search?

I was a happy DuckDuckGo user for many years, but the quality of results degraded significantly in 2022. Not sure what is goşng on, but I’m in the market for a new default search engine. I’m trying out Brave, Ecosia, SearX and a bunch of others. It would be really cool if my default search engine was randomly selected from this pool every time, so that I get to experience different ones before eventually settling for one of them.

Do you think this could be done? (for example as an extention)