The body has different hungers.
Hunger for micro-nutrients, salt, energy or structural proteins is a good breakdown.
While theoretically surplus protein can be turned into fat within the body, in reality it’s a difficult process that happens negligibly in practice. It was known as “Rabbit Starvation” when people died while being able to eat as much rabbit as they want. Because of the low fat content they still starved on protein alone.
You’re not going to stave. You’re going to move towards your optimal composition for your winning life.