Make sketch wait for button

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// motion detector senses something then a door opens
const int MOTION_PIN = 2;
const byte LED_PIN = 13; // LED pin - active-high
const byte BUTTON_PIN = 12;
#include <Servo.h>
Servo servo1;


void setup()
{
  Serial.begin(9600);
  // The PIR sensor's output signal is an open-collector,
  // so a pull-up resistor is required:
  pinMode(MOTION_PIN, INPUT_PULLUP);
  pinMode(BUTTON_PIN, INPUT_PULLUP);
  pinMode(LED_PIN, OUTPUT);
  servo1.attach(9);
}

void loop()
{
  int proximity = digitalRead(MOTION_PIN);
  if (proximity == LOW) // If the sensor's output goes low, motion is detected
  {
    Serial.println("Motion detected!");
    openDoor();
    holdDoor();
    closeDoor();
    holdDoor();
    // wait for pressed button to open door from insided then
  }

  int button_state = digitalRead(BUTTON_PIN);
  else if (button_state == LOW) // If the button press
  {
    openDoor();
    holdDoor();
    closeDoor();
    holdDoor();
  }
  else
  {
    digitalWrite(LED_PIN, LOW);
    Serial.println("No Motion Detected");
  }
}

void holdDoor(){
  servo1.write(90);
  delay(5000);
}
void openDoor(){
  servo1.write(0);
  delay(6000);

}

void closeDoor(){
  servo1.write(180);
  delay(6000);
}