Fuel filter... Our mystique had the same problem, it would hesitate when the fuel was low (around 1/4) and run ok when it had a full tank.
1999 Mystique LS V6
Alpine CDA-9807, Rear deck sub, Opt. TB, K&N RU-3530/MAF adaptor, custom heatshield, FSVT 17's, SCT 4-program chip, Eibach's/ST200's, Hella Fogs...
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