This is pine straw which doesn’t have as much and it is going inside the coop.Long straw may pack and/or mat depending on circumstances, especially if it gets wet.
Likewise for fall leaves.
Throwing some scratch into the bedding encourages the chickens to dig it up, but sometimes it's necessary to toss it around with a pitchfork. That takes about 10-15 minutes depending on how big an area it is and if I'm just stirring it a little or really throwing it around.
If you're putting it into the run it doesn't need to be dry.
I personally wouldn't put it into my garage because it's probably full of yummy, protein-rich, mobile chicken snacks.
I have a massive coop and lots of ventilation so I have a too dry rather than too wet situation but I still avoid damp bedding. Probably I will put it in today so it may still be damp. I needed a break after collecting it and the garage was quick and simple.
In the run I put mainly leaves and those are ina. Big outdoor heap so often damp as you can see in the video I just posted in this thread.