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Back of envelope, I think that's less than 1% difference in circumference. I imagine that calculation should be checked though.
I don't know how much more wear the front vs rear get in the usual course of driving the thing, but I assume the F/R wear isn't exactly even given it decides where to send torque, and so the tyres must eventually wear naturally so they're out by more than 1% difference (but all legal, so not particularly measured). Do suddenly all four need replacing under such circumstances?
That said, it's not something I have to deal with on my car, and I've got no real idea...
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There is a large nail in one of the tyres.
Is there damage to the side wall?
If not I can't see why you can't repair it with a standard tyre repair kit.
If it were a sharp jagged object or a cut/tear in the side wall, then I'd be cautious. But a normal nail that's made a normal clean nail sized hole? Just plug it with a kit like this CAR VAN TYRE TIRE PUNCTURE REPAIR KIT WITH 15 STRIPS BESTSELLER https://www.amazon.co.uk/dp/B00ISFJVSG/ref=cm_sw_r_cp_apa_i_5GR3DbN0C51Q6
I have a BMW with xdrive. There is a large nail in one of the tyres. The garage is telling me I have to get all 4 done as their can't be a greater than 2mm tread variance between tyres because it'll fuck the xdrive system. Anyone got insight into this? Do I really need to change all 4 tyres