How to stop a an asynchronous function immediately at a certain time?

I want to run a script like this:

while(Date.now() < dateToStop){
    doSomething()
    await new Promise(r => setTimeout(r, 2000));
    doSomething()
    await new Promise(r => setTimeout(r, 2000));
}

The only thing is, I want to exit the loop the "instant" Date.now() < dateToStop is false, whereas this function could exit 4 seconds after due to its asynchronous nature nature.

How do I solve this?

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