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Minimal impact. A model 3 uses about 1kWh to drive 4 miles. An hour of using the inference computer at that power level would reduce range by 4 miles.

My hardware 3 computer @144 TOPS draws 72 Watts.

So at 20 miles an hour speed it would drop range by 20%?

Yes. But under most use cases that doesn't matter. Range is mostly a concern for long highway trips where the average speed is much higher.

At low speed drag and friction losses are much lower and range increases beyond the EPA number. Also cities have many charging locations so you never worry about running out.

In my personal case I can charge in my garage and almost never get below 50% charge (only charging to 80% overnight to maintain a 20000 charge cycle life of the battery).

Yes, yes, and also you'll likely be paying for it. 1kW*0.25$/kWh=185$/month

I mean, look, this isn't a real thing. It's about as real as the flying version of the Roadster. You're not really supposed to be worrying about the practicalities; that's not how this works.