MacBook Air with Ventura 13.4.1 not supporting Docking station and external monitor

I had the same issue with my new MAC- unable to detect the monitors. I am using a Targus Dock180 and it was working fine in my old MAC Pro, but I had a hard time in my new MAC. I installed the drivers for the Targus but still not able to detect the monitors. I did two things:

1.- Enable screen recording. You will find this option under Privacy and Security - Screen Recording. You must have enable this option for DisplayLink Manager

2.- Active the DisplayLink Manager. My new MAC Pro did not have enable the DisplayLink Manager. If you review the icons in the upper right, you should see an icon that has like two overlapping rectangles. I did not have them, I launch DisplayLink Manager and the display were immediately detected. For best practice you might want to enable in the DisplayLink Manager the option "Launch automatically after login".

Those two things helped me to have the Targus USB-C Universal DV4K Docking Station with 60W Power Delivery (DOCK180USZ) up and running.

Many docks do not work with Ventura. If the dock is supposed to allow you to connect more displays than the Mac is spec'd to handle, you would need third-party software to make it work—DisplayLink. From what I've seen, here, that software breaks a lot when the OS is updated.

Is the Targus dock supposed to work with macOS? My guess is the HP is not.

Check if you granted access to external devices in MacOS settings -> Privacy & Security -> Allow accessories to connect -> Automaticly

Had the same problem, and for some reason the popup to unlock the USB-C device didn't appear and never came back again. If you grant access to your USB-C connected devices automaticly, then the docking station should work and your monitor too.

If the monitor stays dark (sleep) but is visible in MacOS display settings -> Try unplugging ALL devices from AC and replugging them. Got the same problem yesterday again after updating to Ventura 13.4.1. There is something wrong with device handshake and was fixed only after unplugging ALL USB-C connected devices from AC (incl. monitor).