If I would go with a protector it would be the commercial type (due to my connections).
Some background. If the protector is not earthed, then it must somehow block what three kilometers of sky could not. Or somehow absorb hundreds of thousands of joules. Or somehow clamp so that energy magically disappears. Reality. If not connected low impedance to earth (ie 'less than 3 meters'), then if may clamp a surge destructively into the Tesla.
Fortunately most surges are made irrelevant by protection already inside every appliance and the Tesla. We are not concerned with most surges. We are concerned with the rare surge (maybe once every seven years) that can overwhelm protection inside a Tesla.
Either that energy is connected to a best earth ground. Or that surge will find earth destructively (ie via the Tesla.
So, your protection system started when you first poured the concrete footings. Because no protector does protection. Protection is defined by the quality of that single point earth ground. A protector is only as effective as its earth ground. Protection is always about where energy is absorbed. Search on Ufer ground to learn more.
Now, any wire that enters that shed must connect to earth. Either directly (ie neutral wire). Or via the protector - communication, AC hot wire, etc. Any exception means protection compromised. Just another example of why protection is first installed when footings are poured.
Additional information is in
Whole house surge suppressor entitled "Whole house surge suppressor" complete with manufacturers that actually sell effective solutions.
Worry little about the protector. It should be at least 50,000 amps. Worry most about what only does the protection. An art. Single point earth ground.