Bad mom?

My son (12 weeks) does pretty well at night, we’re usually up twice to feed. In between tho, he’s sometimes fussy from gas, or just generally awake. If he’s not screaming/crying, I usually just let him be and don’t sooth or pick him up. I can tell the different cry/sound when he’s hungry. Should I be tending to him more during these times? Or is it okay to let him work it out. There’s not a ton I can do for gas, and he’ll fuss for 5-10 minutes, and I’ll hear a few big toots, and he quiets down. We’re working toward putting him in his nursery in a week or so, so I’d rather not need to be going to him for every noise, and want to be sure he can somewhat self-sooth - which he is.