What single fundamental variable dictates the difference between a Red Giant and a Red Supergiant's core fate?

Answer

Mass

Mass dictates the ultimate temperatures and pressures a star can achieve internally, which in turn dictates whether fusion can restart multiple times after the initial hydrogen-burning phase concludes.

What single fundamental variable dictates the difference between a Red Giant and a Red Supergiant's core fate?
Corenuclear fusionstarred giantred supergiant