Well... I don't know the answer to this.

And I'm neither a mental health nor a medical professional. So there's probably not much I can offer that will be of much consequence. From my perspective, I suspect this is one of those things that's just going to be really difficult to pin down as to what's causing it.

My personal opinion would be that it may be worthwhile to start with your GP. I also wonder if there might be any value in seeing a specialist such as an endocrinologist. But then you could certainly also raise this concern with your psychiatrist. Perhaps there may be some "tweaking" of the psych med's you're taking that could help.
I'm no longer on any med's of any kind at all. But when I was on SSRI's (& a few other psych med's) they always made me sleepy.

I recall some times when I'd fall asleep on the couch & my wife would have to yell at me to wake me up!

Whenever I would mention things such as this to my pdoc, he would always simply suggest varying the times of day I would take my med's. Doing so, however, never really seemed to make any significant difference.