This question is off topic, but to avoid making another thread I thought asking you would be much easier...
When you use the increment operator, is there a way to make it continuously increment until a certain value (ex. 8), then reset to 0 and repeat?
As this code only increments every time the button is pressed.
void loop(){
if(digitalRead(3)== 0)
{
while(digitalRead(3) == 0);
ledMode++;
}