From the DragonPass site you also have access to: The Ahlan lounge (Terminal 3 Concourse B) which has a 4 hour limit and is 24 hours.

That additional hour may help make things better for travel with little ones during that time of night. I have no actual knowledge of the lounge though. Reading some reviews and confirming info is a good idea.

Unsure if DragonPass's system or the lounges themselves would allow 2 visits (different or same lounge) in one generally small amount of time or if you'd want to use all the visits for 1 layover.