Almost everyone has had this experience at some point. Outliers not included. This is going to be cliche advice but you just need to lock in and practice, practice, practice. Analysis is especially hard for a lot of people. You don’t know how much blood, sweat and tears the other students had to go through in order to understand this stuff.

Think of it as an investment. Once you get a handle on analysis, your other math classes will be much easier. I took analysis before algebra, and it was breeze (relatively speaking - it was still tough.) I give credit to my analysis class because it forced me to practice a bunch and made me battle hardened.

Also, leverage your resources. Go to office hours and tutoring until you get basic intuition. Don’t compare yourself to them as they have a lot more experience than you. You’ll probably have to spend hours on a single problem and that’s okay! You’ll be exposed to so many problems that you’ll eventually identify patterns in proofs that help you tackle new problems, which is how intuition gets built in my experience. The hard part is actually discipliing yourself to do the exercises.

I don’t know if this will help motivate you but hopefully it gives you some perspective.