Please help

How are we fixing the issue of 30 minute naps and then being so exhausted and grumpy he can’t make it full wake windows?

We have no semblance of a schedule because he’s just so tired all the time. He’s never slept well. He’s a week away from 6 months old.

We’ve tried to do consistent wake windows but it’s always been an issue because he hasn’t slept well at night since 4 months. We moved him to his own room then, thinking that would help. And it did for a few days. And then it didn’t.

He does consistently wake up at 5ish.