The crocodiles, Night, Snore, and the Demonic Sword protected Noah while he focused on dispersing the drawbacks of his ambition. The process required a few years, but his companions didn't mind waiting for him to recover.
His seclusion led to important revelations. Noah slowly understood his new power better and also devised methods to avoid those annoying drawbacks.
The trick was to reach a power level close to his goal. Noah had to avoid using his ambition without deploying other techniques because it would force his law to express more might.
Of course, Noah would have to adapt that new power to his battle style and become used to its actual efficiency. Yet, the magical beasts' domain still hid many challenges, so he didn't worry about that part.