get it done right. tapping a random wire isn't the safest way to install.
test the V1 in another car with a working cigarette lighter. confirm it's working properly.
don't mess around with your car's wiring, as you still need to figure out why your cigarette lighter isn't working. run a new wire/fuse tap into your glove compartment fuse box.
i don't think you're going to get any more troubleshooting advice from here considering:
1. you haven't confirmed if the V1 itself works with regular cigarette lighter power, and
2. you tapped into a random wire you found below the pedals.