Full tune up would be my start point. Plugs, Wires, Air&fuel filter, PCV, check the MAF. Do you have the service history? LIM is a known problem in the 97-03, any break in there could cause issues under WoT/heavy acceleration.

Low miles normally doesn't signal a cat, but sometimes you lose the lottery so to speak and get one that dies early.

Also, check all your rims. One of mine had developed a crack that caused a shudder/pull that alignment couldn't fix. Spent forever tracking that down.

Be extremely careful doing the back three plugs. Driver backside(6 I think) in my GT hated getting installed and actually hairline cracked right where the porcelain connected to the base.

Has it had the recall work done yet? While a cause for your issue here, is something to get taken care of

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