kmk
Songster
I wanted to see your article on deep bedding but it was about ventilation.Welcome to BYC. Where, in general, are you?
If you put your location into your profile it's easier for people to give you well-targeted advice because climate matters.
Deep Bedding and Deep Litter are two different things. The former is best for an enclosed coop with a floor, the latter is better for a run or a dirt-floored coop. Here's my article on Deep Bedding to help you decide what is likely to suit your setup: https://www.backyardchickens.com/articles/repecka-illustrates-coop-ventilation.77659/
How soiled is the brooder bedding? If it's very heavily soiled there's no point putting it into the coop. However, many people throw soiled coop bedding into the run, where it works very well.
If you have the ability to brood outside in your coop that's the best possible option. It gets the dust and odor out of your house and allows the chicks to become accustomed to their permanent home from the start.