For the past few hours, Sam's brain is on overload.
He is working with the utmost focus that he could manifest. The weird runes… the reason they were familiar yet unfamiliar…that sensation was like an itch to him. The only thing that he understood about is how the energy is transferring through that inscription, which made it into a tracking spell.
He didn't get a good idea of each rune worked while he was being inscribed by this spell.
So, he came back to the restaurant and started studying right then and there. As for why he did that immediately, to put it simply he didn't feel threatened by the challenge. He has his beasts and he is confident in their abilities.
There is no need for him to even make a move.
He is confident that even without him moving, the beasts could cleanly handle any first grade level cultivator. He took the chance to study those runes. Of course, apart from scratching that itch in his mind, he does have another purpose.
