This will be my first trip to Uzbekistan in october and I have a little concern.

I will have to transit to Tashkent airport after an international flight from Paris, to take a domestic flight to Urgench 5:40 hours later.
Both flights with Uzbekistan Airways. My question is : do I have to pick up my luggage at my arrival in Tashkent, to go through security, customs and check-in again with my luggage for the connecting flight ?
And will the 5:40 hours between the two flights will be enough ?
Thanks !
Nell