But you have a head of state who can, in theory, remove the head of government at their own discretion, right? In the US the head of state and the head of government are the same person.
Yes in theory, the King Charles III and/or his representative the Governor General, could remove the Prime Minister, though the Governor General is chosen following advice (i.e. choice) of the Prime Minister, so I can't imagine that happening in practice.
The US president is head of the executive branch, one co-equal third of the entire government, also including the courts (article III of the constitution), and congress (article I).
