When did your baby start napping in their nursery/different room than you?

Our LO is 13 weeks, and we have been struggling with naps for weeks and weeks. Unless a contact nap the naps are 20-30 minutes tops. He's recently become quite a light sleeper, so in my mind I was thinking okay maybe the living room/bassinet is not a good spot for day time naps.

This week, I've been trying my hardest at crib naps and to implement more of a nap routine for him. Towards the end of his wake window, I take him in the nursery, dim the lights, turn the white noise on, and nurse to sleep. He is super resistant to nursing this week (also having a nursing strike or something we are dealing with), but when he's finally out, he will not be put down. It takes 2 or 3 attempts at transfer (not that difficult in his bedside bassinet at night at all!) then, once he's in the crib, he lasts 10-15 tops and will refuse to be rocked back to sleep, and we usually start a new wake window.

Is he just too little to nap independtly? Where did your 3 month olds nap during the day? Should I keep trying??