1 tire defective, all 4 tires renewed?

Yesterday I managed to damage with the right front tyres on a curb. The tire has burst on the flank, has to be replaced as if and can certainly not be repaired. My question, do I have to change all 4 tyres or is that enough? In the operating instructions I find that the tyres should be changed as complete as possible (i.e. all 4 at the same time), at another point of the operating instructions it is said that the tyres can be replaced with varying degrees of wear from front to back. What now? Would be nice if you could help me. Greeting Jörg