Engine cutting off

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Today as I started the car at seven in the morning everything seemed normal. After driving about a mile or two, engine started to cut off. It didn't cut off completely, but it did seem like it had no fuel or something. I wonder if it was Access Port related or what. It was about 19 degrees outside. Maybe it was too cold and there was too little fuel in tank. The alarm light wasn't on, but it's pretty low.

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