Staggered animations in sequences?

I'm trying to stagger animation curves inside a sequence. I have a sparkling effect I'm trying to create using a bunch of instances of the same sprite pasted around the instance. I want all the sparkle sprites to fade in and out using a shared animation curve resource, but I want them to all start on different points on that curve, so that they're not all appearing and disappearing at the same time.

Is there any way to have them all start at different points on the curve used to control their opacity while seamlessly looping?
 
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