Based on OP's description, if its uses a brace and is over 26" OAL, it is simply a firearm. It is not a rifle, pistol, or AOW.
Rifle - Designed to be fired from the shoulder. Must be over 26" OAL and longer than 16" barrel.
SBR - Designed to be fired from the shoulder. OAL less than 26" and/or barrel less than 16". Must be registered as a pistol in MI if under 26" OAL.
Shotgun - Designed to be fired from the shoulder. Must be over 26" OAL and longer than 18" barrel.
SBS - Designed to be fired from the shoulder. OAL less than 26" and/or barrel less than 18".
Pistol - Not designed to be fired from the shoulder, and less than 26" OAL. Barrel length does not matter. Adding a vertical fore grip makes it an AOW.
Firearm - Not designed to be fired from the shoulder, and over 26" OAL. Barrel length does not matter. Adding a vertical fore grip does not make it an AOW.
AOW - So many possibilities that it's hard to list.
I think that covers it pretty well. If I've made a mistake, please let me know.