Flutter multiple async methods for parrallel execution

I'm still struggeling with the async/await pattern so I'm here to ask you some precisions.

I saw this page explaining the async/await pattern pretty well. I'm posting here the example that bother me :

import 'dart:async';

Future<String> firstAsync() async {
  await Future<String>.delayed(const Duration(seconds: 2));
  return "First!";
}

Future<String> secondAsync() async {
  await Future<String>.delayed(const Duration(seconds: 2));
  return "Second!";
}

Future<String> thirdAsync() async {
  await Future<String>.delayed(const Duration(seconds: 2));
  return "Third!";
}

void main() async {
  var f = await firstAsync();
  print(f);
  var s = await secondAsync();
  print(s);
  var t = await thirdAsync();
  print(t);
  print('done');
}

In this example, each async method is called one after another, so the execution time for the main function is 6 seconds (3 x 2 seconds). However, I don't understand what's the point of asynchronous function if they are executed one after another.

Are async functions not supposed to execute in the background ? Is it not the point of multiple async functions to fastens the process with parrallel execution ?

I think I'm missing something about asynchronous functions and async/await pattern in flutter so if you could explain me that, it would be very appreciated.

Best

With the latest versions of Dart, you can use Records to get typed results from parallel async tasks

final (f, s, t) = (firstAsync(), secondAsync(), thirdAsync()).wait;