Lift-day warm-up & cooldown

I'm a beginner lifting weights 3 days a week and want a 15-minute routine I can do on lift days: about 9 minutes of dynamic warm-up BEFORE training and about 6 minutes of static stretching AFTER. Give me an exact sequence with reps and hold times in seconds. Warm-up (do before lifting, keep it active and flowing, no long holds): - 2 min easy cardio (jog in place, bike, or rower) to raise body temperature - Leg swings front-to-back x10 each leg, then side-to-side x10 each leg - World's greatest stretch x5 each side - Bodyweight squats x10, with a 2-second pause at the bottom of the last 3 - Walking lunges with a torso twist x6 each side - Arm circles x10 forward, x10 back, plus band pull-aparts x15 (or no-band shoulder dislocates with a broomstick) - 2 light warm-up sets of my first big lift of the day (empty bar or light, building to working weight) Cooldown (do after lifting, hold each stretch 30 seconds per side): - Couch/quad stretch - Standing hamstring stretch - Doorway chest stretch - Child's pose with side reach - Figure-4 glute stretch Tell me what each move targets in one short line, and remind me to keep warm-up movements dynamic rather than holding long static stretches before heavy sets.