How to break up with someone?

I've been in a relationship for a couple of months.. It is my first ever relationship and i didn't dive into it very seriously. I didn't think he was serious either. But he is. I tried breaking up with him, but he keeps saying things like "I care so much about you" and "I can see myself spending the rest of my life with you"
I don't see that with him. he's going to the same hostel as me next year and the same university.
I have never felt so trapped before. Please help I'm panicking.
How to break up with someone?
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