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Visual inspection. Noticeable play in the suspension. Unless your car has been in hermetic storage, at 17 years old, it needs new bushings.
Wander/pull can be caused by a number of things. A tire with a tread separation, a bad wheel bearing, out of alignment, worn steering rack, bad bushings, etc. Start by checking for worn or deteriorated bushings. Try rotating tires. Do the easiest and cheapest first. Good luck.