Hello I think this will not be a problem. Of course, this is not desirable, and in the coming year you better fix the situation by ordering the same kit. But for my Prius, too, had to purchase tires of different production
The main thing is to take good quality tires. In case of difference in their sizes, choose from trusted manufacturers, do not save on such for example
As Mike Focke said, you do not want to confuse the ABS (or VSC, or wheel slip logic) with the tires on one axle spinning at a different rate than the other. What the logic trigger limit % differential, and thus the tire diameter % differential, limit may be is anyone's guess.
FWIW I put 175/65R15 on the front and 185/65R15 on the rear (gen 2) and up to 85 MPH the traction control light didn't come on (didn't try faster yet). However when I had 175 on the front and 195 on the rear, it would start doing the traction control "grabby brake" thing at like 60 MPH+ LOL. These guys seemingly had issues with 185 on back and 195 front: So YMMV? I'll post back here if it starts to fail
Different tire circumference (revolutions for given distance, revolution rate vs speed) is what worries ABS and VSC. Different contact patch or overall width would not.