How to use Promises in Postman tests?

I need to use some async code in my Postman test.

As it's a complex scenario I've reproduced the scenario in a very simple test with the following code:

let promiseNumber = 0;

function resolvedPromise() {
    return new Promise((resolve, reject) => {
        pm.sendRequest('https://postman-echo.com/get', function (err, res) {
            if (err) {
                console.log(err);
                reject();
            } else {
                console.log(`Resolved promise ${++promiseNumber}`);
                resolve();
            }
        });
    });
}

resolvedPromise()
    .then(resolvedPromise)
    .then(resolvedPromise)
    .catch(err => console.log(err));

The expected result on the console would be:

Resolved promise 1
Resolved promise 2
Resolved promise 3

But instead I receive:

Resolved promise 1

Is there a way to make Promises or async code available at Postman?