Make the sauce and bind it to the filling so that the filling is not runny. Use tapioca so you do not have to cook the starch out, then add small amounts to the chicken until you get the desired consistancy. Are you planning on chopping the chix or shred? I would go with chop and and process it raw in the robo-coupe, then saute/brown in the pan. This will leave the meat a consistancy of a rough chop but in a more consistant shape. If you are going to grill or sear the chix then process it you will find there will be tough parts that may want to poke through the dough or just be tough and hard to chew. By using a food processor and chopping the raw protein you are tenderizing at the same time. Chop small amounts of near frozen product at a time for consistancy. Trying to process too much at once will create a paste at the bottom and whole product at the top. Use the pulse rather than letting it rip then you can control the consistancy/size of the chop better.
Once it is chopped then you can fry/brown it in the pan, add your sauce then lier with tapioca slurry to bind. The reason to bind the meat is so you do not have a soupy mixture. If the seal isn't perfect on the dough you do not have a break and leak juice every where. This can create a problem when plating.
Sound like a good meal!