The 202 doesn't have a rack, it's the old "recirculating ball" and I believe the 210 - same generation - is the same way. You have a steering box, center link with tie rod ends attached, and then the lower control arm bushings and idler arm can also cause play. The box can be adjusted (very carefully!), but you are probably looking at the center link being worn if the tie rod ends look fine. You also just got new tires; when was your last alignment? Do one every 10k and save your tires

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former: 83 300D, 97 C230, 93 400E

current: 08 C300 Luxury , 92 500SL