What Augments Turns a Comp from Decent to OP?

Seeing this recent TFT Clips video about Double Trouble Taliyah reroll got me thinking.

DT3 elevates Taliyah reroll from decent to an OP comp that almost beat this 3* Azir Lux if capped.

What other augments elevates a comp like that? or even makes a comp viable (like those transformative hero augments for WW, Sett, Kassadin, Swain, and Galio carry).