Does anyone have any tips on improving push pull teasing? I struggle in this area.

Last night I was on a date at a bar and I was as usual struggling to escalate in this area and I guess some guy noticed because he tried to step in on my convo and introduce himself to my date without acknowledging me and I noticed her body language in that moment was surprisingly receptive, which I think is partially due to my struggles to keep things emotionally charged and interesting.

While I did obviously tell the guy to fuck off because he literally asked for her number in front of me, I realize I would fare better in general if I could get girls more hooked on our convos by improving my push pull teasing game so they would be more invested in our chat and less likely to even acknowledge anyone else trying to step in during a date.