I regret not shooting my shot

So I was at the gym today (26M 8.2in long 3in girth) and while doing cardio on the rowing machine to warm up after like 5 minutes (so exactly I was getting really pumped and any sane human being would be mirin and have to fight the urge to lick my biceps and shoulders veins) a fit ass woman around my age that have been staring at me for a moment (no idea if that's factual but I feel like it was) already came and chose to do cardio on the bycicles right in front of me while ALL the others were available and on the others she wouldn't be exposing her juicy ass in front of a random dude.

So clearly it was an invite to talk to her (not debatable), while doing my cardio I was thinking maybe to start the conversation I should've come behind her and embrace her with my sweaty body and hold tighter and tighter while whispering in her ear "hey sweaty long time no see ahah 😏" (first time I ever saw her btw i'm new at this gym I got banned at the last one for some random reason that doesn't matter) but the problem is that while perfecting my approach in my head she stopped doing cardio (only 3min and 42 seconds cardio btw who the fuck call that a warm up ??) then went to do legs but not without giving me a quick look and a smile, I gave one back but I didn't have the balls to talk to her.

Afterward during my session she did give me multiple look tbh but I don't want to seem like a gym creep and had to report to the FBI that someone stole my balls because I usually always have some especially to talk to women but sadly never in the gym.

So any advice ? I think i'm gonna try to get her number once the gym staff is distracted so I can get access to their computer and find her infos or should I just find which is her car and wait for her inside it ? (lockpickinglawyer on YouTube taught me a few little tricks)