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Edit - this seems to be exploiting the "convenience unlocking" feature, whereby you can unlock the car by having the key in a pocket and standing next to the door. Similarly the car will also allow starting the engine if the key is detected inside of the car, so this too can be done via a relay. But you'll need to have the key continuously present to drive, so I guess the whole scheme would involve a flatbed/tow truck around the corner.
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Edit - I guess one can stretch the relay tether by planting the key-side relay on site, next to the garage door, and have it talk to the car-side counterpart via cell connection.
Also as far as countermeasures go - one would probably be to have the key shut down completely it detects no motion for N minutes. Or just have a physical Off switch on it.