<human>: Can you condense the text into a few key points?

Sorry if this is a mundane question, I just haven't dated in a long time but how long am I supposed to wait for his response before I throw in the towel and forget about him?

We met at a party a couple days ago through a mutual friend and we hit it off really well. We exchanged texts and he invited me to lunch and drinks today but I already had plans so I suggested getting together a few days from now when I get back in town to which he hasn't responded. I'm assuming he's busy but....I just hate games.
<bot>: Met at a party, he asked me out to which I said I was busy but suggested another time frame later in the week but he didn't respond. Let it go?