help with buttons switching with number of pushes

Right so I cleaned up your program and added three functions one light (Lighter(boolean, boolean, boolean), one to detect the button has been pressed (ButtonChange()) and the last is simply a debounce function. I used a switch case stament to select LED pattern, though not the nicest or shortest it is way faster than using an array.

//LED Pins
const int greenLED = 6;
const int yellowLED = 10;
const int redLED = 11;

//Button Pin
const int buttonPin = 9;

//Variables for Debounce (Button has to be pressed for a certain amount of time for press to count)
const int debounceDelay = 10;                                           //miliseconds the button has to be pressed for press to count
boolean state;                                                          //actual state of button (for debounce)
boolean previousState;                                                  //last state of button  (for debounce)

int buttonPushCounter = 0;                                              //counts presses
boolean buttonState = 0;                                                //actual state of button, LOW
boolean lastButtonState = 0;                                            //last state of button, LOW
int numberofPatterns = 7;                                               //number of patterns indexed to whatever cases are (this case 0 indexed, 0 to 7)
void setup() {
  pinMode(buttonPin, INPUT);
  
  pinMode(redLED, OUTPUT);
  pinMode(yellowLED, OUTPUT);
  pinMode(greenLED, OUTPUT);
}

void loop () {
  if (ButtonChange() == HIGH) {                                          //if button has been pressed
    if (buttonPushCounter > numberofPatterns) {                          //if counter exeeds max reset to index(0)
      buttonPushCounter = 0;
    }
    switch (buttonPushCounter) {                                         //depending on counter value choose a case
      case 0:
        Lighter(0,0,0);
        break;
      case 1:
        Lighter(1,0,0);
        break;
      case 2:
        Lighter(1,1,0);
        break;
      case 3:
        Lighter(1,1,1);
        break;
      case 4:
        Lighter(0,1,1);
        break;
      case 5:
        Lighter(0,1,0);
        break;
      case 6:
        Lighter(0,0,1);
        break;
      case 7:
        Lighter(1,0,1);
        break;
    }
    buttonPushCounter++;                                                 //increment counter by one
  }
}

boolean ButtonChange() {                                                 //returns HIGH if there has been a change in button state from last scan
    lastButtonState = buttonState;                                       //store latest state
    buttonState = debounce(buttonPin);                                   //update buttonState with debounced value of buttonPin
    if (lastButtonState != buttonState && buttonState == HIGH) {         //if there is a change in button state and it is now HIGH(pressed)
      return HIGH;
    }
  return LOW;
}

void Lighter(boolean redState, boolean yellowState, boolean greenState) {//lights the threeLEDs to the values redState, yellowState and greenState
  digitalWrite (redLED, redState);
  digitalWrite (yellowLED, yellowState);
  digitalWrite (greenLED, greenState);
}

boolean debounce(int pin) {                                              //returns HIGH if button if HIGH for debounceDelay in miliseconds
  previousState = digitalRead(pin);                                      //store pin state
  for (int i = 0; i < debounceDelay; i++) {                              //make sure button is pressed every milisecond debounceDelay times
    delay(1);
    state = digitalRead(pin);
    if (state != previousState) {                                        //reset if change in state
      i = 0;
      previousState = state;
    }
  }
  return state;                                                          //return stable state
}

I commented everything to be sure you get it cause I'm not sure of your programing level. I've compiled this and tested it so I'm sure it works. Hope I help.
Keep making!!