Why would he ask me out twice, but never reach out to plan it?

I go to the gym in my town, and for the last few months, I’ve seen this new personal trainer around. He’s not my PT, but I do go to some of his classes. At first, he seemed a bit shy around me to chat, but over the last month, we’ve started talking after each of his classes. And if he sees me around the gym he will always come and chat. He asks me lots of questions and seems interested in me, I can tell he’s attracted to me. He kinda subtly touches me a lot. During his spin class, he put his hand on mine whilst I was on the bike.

Anyway, 2 weeks ago, he chatted to me after his class and he said ‘would you like to get a drink sometime?’ And I said I’d like that. He followed me on instagram, he said he was going on holiday but we can arrange it when he’s back.

Then I didn’t hear from him, but I bumped into him again on Thursday. He seemed really happy to see me and said ‘so are you still down for that drink?’ Again I said yes, and he said ‘when are you free? I’ll text you. We can go to a nice pub.’

I’ve been really looking forward to it, but once again, it’s been 4 days and he hasn’t even reached out or messaged me. I’m confused.

But also I looked at his instagram feed and saw in July he had a girlfriend. Would he really ask me to go out for a drink if he still had a girlfriend? Does this sound like he’s playing some game of some sort?

I don’t know what’s wrong with me, 28 and never had a boyfriend due to situations like this