My friend of 6 years won't talk to me because of our height difference??

So last week my friend came back home for the holidays and I messaged him asking if he wanted to meet up. The next day I see another friend had posted an instagram story where they were hanging out. I thought maybe he had gotten better and texted him to ask if he wanted to hang out and I was left on seen.

We were texting just a couple months ago and I did not know what I did to upset him so I asked in the groupchat if I had done something or messages glitched out or something. He now says he doesn't want to talk to me and he knows I'm only using him. I had no idea what he was talking about.

After our other friends asked him to explain what he meant, he said that I only wanted to hang out with him to look good.. He said that I'm not interested in being friends with him and that I only want to look tall when he's with me.

That kinda hurt :/ He's an average height in our country (5'6 from India) and he sent multiple posts from this subreddit which apparently proved his point??

I tried to reassure him that he's like a brother to me and that I enjoyed spending time with him and he just wouldn't have it. He even listed out 6-7 times where I was with him and other people commented on me being tall (this was from years ago) and I can't believe he would be obsessed enough that he literally remember all the conversations in perfect detail it's actually insane??

He says that women don't respect him in general and especially when I'm with him (I feel like this isn't true at all) and that he feels invisible.

After a fair bit of arguing, I said that if the social aspect is his problem, why not come over to my house to play some video games or just talk it out and he refused. He just doesn't want to be friends with me.

The funniest part (I think) is that he has a girlfriend while I do not which invalidates his argument that women do not respect him

Is there anything I can do to reassure him? And also, I had talked to his roommate and he says he might be depressed. Should I give him some space? Should I keep trying to talk to him?

IDK why I'm venting here, it's just that someone I thought of as an amazing friend would want to sever ties with me for such a petty thing :(