Read the sentence. While she slept the alarm kept ringing in jamie's ear. According to the elements of style, what is the correct way to revise this sentenc

The correct way would be: While she was sleeping, the alarm kept ringing in Jamie's ear.

While contains the element of duration and it is better to use a progressive form.

Sleeping is a verb that has duration, so it should not be conjugated in the past simple if there is a simultaneous action.