I would say it is probably possible, but you may pop the stereo fuse. Probably would work fine if you connect before the stereo fuse and use a fuse for the tv too. Another option might be to see if there is a 12v accessory location nearby. The tv may have an adapter for that. A third option is you could keep your current tv and buy an inverter. Probably wouldn't need a big one as the tv is probably not a high wattage.
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