Hi Ali Sureyya Uz
Yes, the 7731 Point to Point bridge is a transparent extension of the network so the 7782 on the non root bridge side connected to the switch will see the ZD on its wired Ethernet port and will act as a Root AP. The 7731 link also acts as a Trunk connection forwarding all 802.3q VLAN tags.
The Zone Director will be able to manage all the 7982's including the Mesh connected 7782 at the bottom of your diagram. Unfortunately 7731 point to point bridges are not controllable by the ZD.
I hope this answers your question