Liner Kit Tee With Baro for Coal Insert

Guys,
The liner kit I plan to order has a tee for the stove to flex connection and fly ash cup. However, my stove is a coal insert (LL hearth - sits directly in front of the fireplace) and the manufacturer says to not bother with a fly ash cup as it will be inaccessible and just clean the pipes by going through the stove. My question is since I don't need the cup could I use one port of the tee for the Baro damper? This would mean I would need to connect the fly ash side of the tee to the stove, then the snout to the Baro and the flex connection to the liner. Would this work? Want to get everything setup before the stove arrives.
Thanks,
Speerstra.