Is this normal?

I think my wife’s been cheating on me and she wanted to leave so we separated.
I can tell that she’s giving me my space and she wants me to move on so if I’m with somebody new then she won’t feel guilty anymore.
What if I don’t just want someone new though?
What if I feel like I want to make it my life’s goal to find out who my wife’s best friend is, learn everything I need to about her, do whatever I need to make her fall in love with me, have sex with her and make her my new best friend?