Actually they thing to do is buy MKS rather than shimano cleats. They are a bit harder to get and a little more cost.
But they work with shimano or MKS or welgo clipless.
Shimano cleats don't work in MKS.
I run standard and clipless versions of the MKS and wellgo pedals across my bikes. And also shimano SPD on a Mountain bike.
Mks cleats fit everything fine.