OK, just found another contributor having the same problem in the past. All I had to do was create an empty folder called "x-aviation" in X-Plane12's root, answer the login details as they appear and all went swimmingly.
A plugin on your system appears to be blocking the network connection from the aircraft to verify your license. We've seen this issue before with the GndHandling plugin, try removing that and see if that resolves the issue. (E:\SteamLibrary/steamapps/common/X-Plane 12/Resources/plugins/GndHandling/win.xpl)
There are a few requirements for AP to be able to engage:
The "Turn" knob must be centered on the AP control panel on the center pedestal. There is a clickspot on the knob that will center it for you as well.
The attitude gyro must not be in fast erect mode. This is the lower left switch on the pilot's switch panel located to the left of the main pilot's displays
The ATT2 gyro must not be enabled as the EADI source. This is the button underneath the DME power button on the pilot's panel. "ATT2" would show on the EADI if it is selected.
The ATT1 gyro must be aligned. (If you see the horizon bars on the EADI, it is aligned)
This is a 4K-livery for the TorqueSim CJ525, inspired by https://www.jetphotos.com/registration/N992DB, originally a CJ4.
To install, extract the zip file into the "liveries" folder.
The registration is baked onto the tail for this one, you can change the cockpit placard though.