[FR]: Add Brave Search as an out-of-the-box search engine

### Description

I would like to see Brave Search (search.brave.com) added as a search engine option.

### Who's implementing?

- [x] I'm willing to implement this feature myself

### The problem

See description

### Possible solutions

I'll implement it if I can find where to add it. (Certainly it can't be *that* hard, right?...)

### Additional context

_No response_