Select one of three options with push button in Arduino

Using Arduino Programming Questions
#1

I have to program in Arduino a system that allows me to choose one of three options by pushing that number of times the button. After clicking 3 times, the counter have to reset and start all over again. Each time the button it’s pushed one of three LEDs is lighted.

This is my code, so far… but I don’t really know if it’s the best option to do it

const int led_dop=PIN_LED1;
const int led_ad=PIN_LED2;
const int led_fen=PIN_LED3;
const int button1=PIN_BTN1;
const int count=0;

void setup()
{
pinMode(led_dop,OUTPUT);
pinMode(led_ad,OUTPUT);
pinMode(led_fen,OUTPUT);
pinMode(button1,INPUT);
}

void loop()
{
static int button1_last=0;
int button1_state=digitalRead(button1);

while (button1_state != button1_last)
 {
 count++;
 button1_last=button1_state; 
 }

 if(count==1)
   digitalWrite(led_dop,HIGH);

 else if(count==2)
   digitalWrite(led_ad,HIGH);

 else if(count==3)
   digitalWrite(led_fen,HIGH);

}

That’s what I have, I don’t know how to reset this and make the program do the count all over again. Can you help me??

Moderator edit:
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tags added.

#2

For example, you can start from the beginning if you press another time:

const int led_dop = PIN_LED1;
const int led_ad = PIN_LED2;
const int led_fen = PIN_LED3;
const int button1 = PIN_BTN1;
const int count = 0;

void setup()
{
  pinMode(led_dop, OUTPUT);
  pinMode(led_ad, OUTPUT);
  pinMode(led_fen, OUTPUT);
  pinMode(button1, INPUT);
}

void loop()
{
  static int button1_last = 0;
  int button1_state = digitalRead(button1);

  while (button1_state != button1_last)
  {
    count++;
    button1_last = button1_state;
    if (count >= 4) {
       count = 1;
    }
  }

  switch (count) {
     case 1:
        digitalWrite(led_dop, HIGH);
        break;
     case 2:
        digitalWrite(led_ad, HIGH);
        break;
     case 3:
        digitalWrite(led_fen, HIGH);
        break;
  }
}

NOTE the differences in my code:
1- I add the code tags (to get that box with the code). The code tags are added by pressing the ' # ' icon in the top toolbar (next to the smiley faces);

2- I add the if in the while cycle:

    if (count >= 4) {
       count = 1;
    }

so, if you press one more time the button, you restart the count.

3- I replace the if/else if by the switch/case (I think is better for more than 2 options to test).

I don't know if this part of the program:

  int button1_state = digitalRead(button1);

  while (button1_state != button1_last)
  {

do what you want/think it do. What is the while for?

#3