How to remove lead wrist cupping with a strong grip?

Full transparency: I’m a functional flipper with a strong grip …and I can’t stop. 😂

I can manage this situation fairly well with my driver and woods. But when I’m not paying attention with my irons I have some massive over-draws (5-10yrd left). Looking on video it’s pretty clear I have some significant cupping - which I would expect with a strong grip.

What I can’t figure out is this: without weakening my lead hand grip, how do you “un-cup” a strong grip? It can’t be the normal “twist down during the takeaway“ (palmar flexion) because with a strong grip that would massively hood the club face. Rather, is it actually the goal to take the cup out of the *side* of lead wrist (radial deviation)? I’m confused!