ItWillNeverWork
Messy Crimbobs, fellow humans.
Capitalism is the economic system based on the private ownership of the means of production and the creation of goods and services. Without excess free energy, there can be no means of production, and no creation of goods and services. Without excess free energy, there can be no capitalism.
Societal metabolism has followed the trajectory of hunter-gatherer -> agrarian -> industrial. Capitalism co-evolved with industrialism during the the transition from agrarian to industrial society by exploiting the colossal quantities of net free energy afforded by the temporary draw down concentrated fossil solar energy resources. But it was excess energy, not capitalism, which enabled the transition, and it will be energy deficit, not capitalism, which governs the next transition.
Shortly, we will have no excess energy. The society that follows will therefore not be capitalist. In fact, the society that follows will be as different from industrial as industrial is from agrarian.
All of the phases of capitalism you cite are products of industrial society. So there is no basis to assume that any form of capitalism will follow.
What about nuclear?