closes #45210

Root cause

The existing slotProps below for transition is not correct:

transition: SlotProps<
  React.ElementType<TransitionProps>,
  DialogTransitionSlotPropsOverrides,
  DialogOwnerState
>;

It's because TransitionProps extends React.HTMLAttributes<HTMLElement> that causes the final types to be a union of TransitionProps and HTML props. That's why transition['onExited'] does not exist, see this TypeScript playground

This PR fixes the issue by moving TransitionProps to the second parameter (the TOverrides).

All slotProps.transition should follow:

   transition: SlotComponentProps<
      React.ElementType,
      TransitionProps & DialogTransitionSlotPropsOverrides,
      DialogOwnerState
    >;

The SlotComponentProps must be used instead of SlotProps because transition slot does not support component and sx prop.

• I have followed (at least) the PR section of the contributing guide.