Deep litter and deep bedding are two different concepts. Deep litter essentially means turning your coop floor or run floor into a compost pile. For it to compost it needs to maintain a certain dampness. It needs to be damp enough that the microbes that digest organic matter and change it into compost can live and reproduce, but you don't want it too wet. You want the microbes to be the aerobic type, oxygen breathers. If it is too wet the oxygen cannot get to the microbes so you get anaerobic microbes. Those create a lot of ammonia, get slimy, and stink. Also, if it is too wet, certain disease producing microbes can thrive. I'm mainly thinking Coccidiosis. You want the moisture level to be about the same as getting a sponge wet then wringing or squeezing out the water. A slightly damp sponge.
The moisture can come from rain, snow, maybe condensation, spilled water, or their poop. If their poop gets too thick it won't dry out. Generally during the day they walk around so the poop doesn't pile up, but at night when they are roosting you can get some pretty thick piles.
Deep bedding is where you keep it so dry that no microbes can live. It's not going to stink or support those certain diseases.
You manage deep litter and deep bedding differently. With deep litter you can put anything in there that you would in a compost pile, including kitchen or garden wastes. Scattering or mixing in the overnight poop buildup in it should keep the poop dry enough so it doesn't stink. You don't want to do this on a wooden floor. Wood is organic material and those microbes will digest it tool (rot it). Some people use certain paints or linoleum to protect the wood but a dirt floor usually works great.
With deep bedding it usually helps if the birds spend most of the day not in the coop so the poop doesn't build up too much. It also helps if you remove most of the nighttime poop under the roosts. I use a droppings board to make that easier. With my deep bedding I can go years without having to clean the coop floor if I want to. The nighttime poop goes on my compost pile.
Many people do neither deep litter nor deep bedding. They clean the coop out as needed. This is probably the most used method on this forum.
If you are going for deep litter, you can dump that brooder in there. I would not if you are trying for deep bedding or just clean it as needed.