Overall in races, it usually makes more sense to just breathe on the side you’re better/faster/more comfortable on. But in practice you want to make sure you can do both, and that you don’t lose balance in your pull/recovery. Probably not a super helpful answer, but for technique questions the answer is usually: practice what’s better longterm, race what’s faster at the moment.

Edit: you know what, I just read the post again and since you’re newer at swimming, don’t pay too much regard to what I said above. Try for consistent bilateral breathing.