What are you doing when baby wakes up early from a nap?

My 6 week old usually only takes short naps, maybe 20-30 minutes. When he wakes up he usually still seems tired, so I’ll try to put him back down to sleep. Sometimes he’ll take another snooze and sometimes he just wants to stay up. I try to follow the eat, wake, sleep approach but after these short naps it’s usually too early for him to eat since he goes 2.5-3.5 hours between daytime feedings. So what should I do with him if he stays awake? I don’t want him to become overtired from being awake too long or getting overstimulated.