How to pause & continue led sequence with button press

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In the meantime I have learned that the delay function is unusable for this, as it stops the program as long as it lasts.
I have found the "blink without delay" sketch, which made me a bit more confused.
I'm figuring out the Wokwi app, as soon as I managed to model the wiring I'll post it.

const int LED1 = 13;
const int LED2 = 12;
const int LED3 = 11;
const int buttonPin1 = 10;

// variables will change:
int buttonState = 0;  // variable for reading the pushbutton status


void setup() {

  // put your setup code here, to run once:
  pinMode(LED1, OUTPUT);
  pinMode(LED2, OUTPUT);
  pinMode(LED3, OUTPUT);
  pinMode(buttonPin1, INPUT);




}

void loop() {
  // put your main code here, to run repeatedly:



  digitalWrite(LED1, HIGH);  //turn on led 1
  delay(2000);  //keep led on for 2sec
  digitalWrite(LED1, LOW); // turn off led1
  delay(100); //wait 0,1 sec
  digitalWrite(LED2, HIGH); //turn led2 on
  delay(2000); //keep led2 on for 2 sec
  digitalWrite(LED2, LOW); //turn led2 off
  delay(100); //wait 0,1 sec
  
  // read the state of the pushbutton value:
  buttonState = digitalRead(buttonPin1);

  // check if the pushbutton is pressed. If it is, the buttonState is HIGH:
  if (buttonState == HIGH) {
    // turn LED on:
    digitalWrite(LedPin1, HIGH);
  } else {
    // turn LED off:
    digitalWrite(ledPin1, LOW);




}