I have a project that I need help figuring out how to make a buttonpresscounter trigger certain actions once the counter reaches a predetermined count and then resetting once it gets past a number.

example of what I need:

button count = 0 - LED 1&2 off
button count = 1 - LED 1 on; 2 off
button count = 2 - LED 1 off; 2 on
<counter resets after 2>

example of what I thought it would be:

buttonState = digitalRead(stbyin);
if (buttonState == HIGH) {
count  ;
if (count>=2) {
count = 0;
} else {
(buttonState == LOW);

}

buttonState = digitalRead(stbyin);

if (count == 0); {
digitalWrite(stby, LOW);
digitalWrite(go, LOW);
}
if (count == 1); {
digitalWrite(stby, HIGH);
digitalWrite(go, LOW);
}
if (count == 2); {
digitalWrite(stby, LOW);
digitalWrite(go, HIGH);

}

But what's happening there is whenever I press the button that should trigger the counting, it triggers the whole string to happen at once. I can't find much documentation about this and would really like some help.