Crate Training puppy with older dogs

Hi I got a 3mo puppy a few days ago. I have two other dogs and need advice crate training the puppy. The older dogs are well behaved and free range. They are very upset about the puppy whining in the crate and the puppy wants to come out and “play” with them. We have a cover on all but the door of the crate. We live in a studio apartment so not possible to move the crate to another room. Should I cover the door too? Any other tips? Everything I see about crate training doesn’t take into consideration other dogs (that aren’t crate contained) Thank you!

Edited to ask about my other dogs barking and waking up the puppy in the crate. Any tips for that? TIA