INFINITE INTELLIGENCE

A hypothetical scenario:

Imagine that there is someone with infinite intelligence. I mean, the intelligence is literally infinite. There are no limits.

Does it make sense to say that this person knows literally everything which happened in the past, happening right now and will happen in the future?

Let's put forward this assumption:

If this person have infinite intelligence,

a) Either they will definitely go through all the ideas and possibilities in the entire universe.

OR

b) They just have the potential to go through all the ideas and possibilities in the entire universe.

Do they know everything that is happening in the universe because they went through all the possibilities and calculated all the outcomes in the entire universe OR do they just have the potential to do all this and it does not really guarantee that they know everything?

Talking about (a). Do you think that if they have an infinite intelligence, they can't help it, but see through all the intricacies of everything, go through all the possibilities and know everything?

I'm saying this because of some of my experiences when I used to play chess. I don't play now, but I used to play some time ago. I was not a good player by any means. But after playing for like an year or something, I looked at my first few online games in chess.com and lichess. I was shocked on how stupid my moves looked. I was like, "Was I drunk while playing the game? I can't even imagine doing something like this at my worst." That was one example.

I don't know if this...