This is where we start cutting hairs. The AI is housed in an EMP shielded “box” (for lack of a better word atm) that is connected to your brainstem and part of your spinal cord, giving it access to your neural system.
So, if I were to come up to you and shoot at you, while you’re unprotected, in the back of your neck, you both are dead. Now, with all that said, we’ve already given the AI the ability to harden your skin into metals, you’ll eventually be able to phase through objects and things of that nature later on. A standard kill is going to be hard to come by while you have power. If you are completely out of juice and you’ve burned your “overdrive” then you are really in trouble.
Now, can there be a scenario where you die but the AI survives? The only one I can think of is if you take brain damage. The nanites can heal your brain but are “you” still currently in there? It might be worth exploring.