Try this. Warm a towel in the dryer. Nice and warm but not burning hot. Wrap the chick in the warm towel and place it back in the brooder. Yeah, it will look like a burrito. That's what we want. Wrap it so its snuggly warm and can't get loose.
See if it stops chirping. If it does, and it becomes quiet and content, it may be that the chick can't get warm enough due to not being able to process calories efficiently. This would make it a failure-to-thrive chick. It would need special feeding and vitamins.
If the chick doesn't stop chirping after it's wrapped in a warm bundle, it could be constipated, which is very painful. The chick would then need to be treated with coconut oil orally in order to break up the blockage in its intestines.