Title. Don't ask how many times I redid everything... Checked all questions before, and none helped.
Gladly I found an issue. Set your Transform Pivot to median. Hope it'll help someone :D
It's all good, this is the way. Now when I figured the problem myself, I really learnt something.
Im glad you commented on that! I don't know why that result didn't happen for me, but I started playing with it cause of your comment. I was originally on closest and it was only snapping to the outside vertex. Then switched to median and no snapping occurred. Then I went back to closest and it worked. Thank you!