How can I sync two songs with different tempos on the grid?

Question

I have two songs with the same melody and structure, but different styles and tempos. I’ve placed them into a music switch container, and I can use the switch to play them. I’ve already set the tempo, frequency, and other properties. But how can I sync them to the grid? For example, when the first song reaches the 3rd bar and I switch to the second song, it should also be at the 3rd bar of the second song. When I switch back, the same rule should apply.