I'm assuming you want every combat to begin with those three abilities, sequentially and in that order.

When one advances, they all advance.
Meaning if you mash these abilities in this order: Plague Strike, Icy Touch, Blood Boil...
Each of the sequences would count for Icy Touch having fired off already, but not PS or BB.

By having those three in multiple sequences, whether a 1, 3, 5 or 6 is pushed, the initial desired opener fires off.
(My 1, 3, 5, and 6 are purely numbers I picked, not sure what is actually on those numbers).