I wouldn't draw it twice anymore than I'd come over here and say, yeah, there's a normal force, there's also upward force. Maybe there's two ropes and you had a second tension over here pulling inward, but you'd better be able to identify what force it is before you draw it.
Don't just call it F centripetal, so you might be like, yeah, yeah, I get it.
And then you use Newton's second law for one of the directions at a time.
And if the direction you chose to analyze Newton's second law for didn't get you to where you needed to be, just do it again.
We've got forces, but they're kind of all over here.
This side view's gonna better illustrate all the forces involved.
I mean, it's gotta be either the force of friction or normal force or tension or the force of gravity.
The centripetal force isn't a new type of force.
Use Newton's second law again for another direction, and that'll get you to where you need to be.
So in other words, let's draw a quality force diagram.