Would a guy agree to be boyfriend/girlfriend because he feels bad for me?

I have extreme anxiety, and have very very low self-esteem. A few weeks ago, the guy Im dating called himself my boyfriend in a casual conversation. Yesterday, I decided to clarify. He had asked me to be his valentine, and I said yes. I then asked him if when I was talking to my friends, I could call him my boyfriend. He said sure. He still didn’t ask me to be his girlfriend, but didn’t seem to think this was as big of a conversation as I did. We had already had a dating exclusive talk a few weeks ago.

A big part of me thinks that he doesn’t want to be boyfriend/girlfriend and he just agreed because we were in person and it would have been awkward to say otherwise. Am I overthinking? Would a guy actually do this?
Would a guy agree to be boyfriend/girlfriend because he feels bad for me?
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