Different tire specs but same dimensions cause Pulling to one side

I had a puncture in my front right tire. It was exchanged with a brand new one but with another spec. So not the exact same tire spec than the left one. Dimension are the same. The left tire has 15k km and the right one is new. Now after replacement of the right tire my steering wheel is pointing arround 5mm to the right side. Why is this so? I assume the new tire has in total more distance in one turn due to no wear so the tire is a little bit taller than the left one (Bigger diameter). I have problems to understand why it is now pulling to the right and not to the left. Can someone explain? Due to toe alignment I thaught it will pull to left because the right tire due to its larger diameter and travelling more distance per turn is pushing the steering wheel to the left....

Sorry about the later esponse, I just noticed this, but there are many factors to consider.

a/ tyre sized are nominal, and normally rounded off to the closest size - eg a nominal 205 may be actually 201 to 210 in section width on the nominal rim, which can also be different - some may use, say, a 5"rim and others a 7"rim with most on a 6" rim, because the typre may be intended for different uses. Same thing with the profile, or tyre height - while it's supposed to be a percentage of the width, it's also rounded off to the nearest 5, or even 10%.

Then you have the tyre construction, the rubber compounds used, etc.

All these are reasons you should always replace tyres so the match on the axle - brand, size, model, etc. With modern vehicles, it's not uncommon to have different front to rear sizes, but it's still a good idea, where possible, to use 'the same' tyres, other than size, all round.

From what you say, I assume you have one of the vehicles that doesn't have 'square"sizes and no full size spare wheel? I have been caught in the past with having to fit an 'odd' tyre but it's normally then become the spare tyre, because they were still a thing then.