#include <iostream>
#include <functional>

void Action_1();
void Action_2();
void Action_3();

std::function<void()> action;

// this function in your case is not handled by you
void setNextAction(std::function<void()> nextAction) {
    action = nextAction;
}

// your code
void Action_1() {
    std::cout << "Action 1\n"; // do some action
    setNextAction(Action_2);   // set next action
}
void Action_2() {
    std::cout << "Action 2\n"; // do some action
    setNextAction(Action_3);   // set next action
}
void Action_3() {
    std::cout << "Action 3\n"; // do some action
    setNextAction(Action_1);   // set next action
}

int main() {
    action = Action_1; // set initial action

     // call action 10 times (aka click button 10 times)
    for (int i = 0; i < 10; ++i) {
        action();
    }

    std::cin.get();
}

/*
    output:

    Action 1
    Action 2
    Action 3
    Action 1
    Action 2
    Action 3
    Action 1
    Action 2
    Action 3
    Action 1
*/