I'm trying to grasp this Analysis book, but I just couldn't. Could you recommend me another book for a brainlet like me?

Valenza deserves an honorable mention, that's my favorite intro lin alg book and I own Shilov and H&K

This. Rudin is a great book, but it's trial by fire. Go spend time learning literally anything else and come back and you'll have an easier time. Rigorous linear algebra is a great bridge from baby's first proofs to analysis with Rudin in the sense that you'll develop loads more mathematical maturity

If i skip peano's axioms from tao's book ill be fine? They are so strange for me right now

you can't build the naturals without them, so no

rather, you should identify and address what makes them so uncomfortable. tao was my first exposure to them and i had no problems and my iq is only 55

I'll read it sometimes this year then, you're the third person mentioning it. How does it compare to Shilov?
It's okay to go straight to R for most people since they already know how to construct N,Z and Q from highschool. But since you don't seem to, do not skip anything, do all the excercises- Tao has very streamlined linear progression and you won't ever find yourself struggling with a proof.

Shilov was my first attempt at LA, and it was too much for me. Back then I was new to proofs and real maths in general (I tried Shilov when my maths background was limited only to Stewart's calculus works). However, I found Valenza to have very simple, straight-forward proofs and exercises with a focus on developing geometric intuition, and that made it really comfy as a first look at LA, especially compared to Shilov.. It started with sets, groups and vector space properties, which, being structural properties that the rest of the maths is built on, was great because a familiarity with those makes everything else much easier. I have yet to go back through Shilov, so can't directly compare the two, but after hopping around a few LA books Valenza's really clicked with me. Though the exercises were rather easy compared to other texts (but many were still very difficult for me), I feel they really cemented the conceptual and structural approach that the author was aiming for. and I have doubts I'll glide through Shilov or a more advanced LA text now that I understand these underlying concepts relatively thoroughly.

I won't skip anything then thx

This is the best book. Watch lectures on YouTube on what you don't understand, ask sci at least.