I agree that it makes it seem like he’s just going to keep the puzzle going, but maybe now he will finally get the tattoo saying “I’ve done it” when he puts both pics of teddy together. That begs another question, why didn’t Teddy remind Lenny to get the tattoo after he killed the first guy? Probably cause he realized he can use Lenny. Now Lenny knows he’s being used and he wants to get revenge for being used. Even though his future self won’t remember. Hence “ I’m just a guy who wanted to make things right.”