Wishmaster40 wrote:
However when I close the lid both monitors are duplicated and I can only add 1 more monitor which is my iPad Pro.
The iPad Pro is using a software connection method that doesn't count against your MacBook Air's hardware-supported display limit. It's just that the software for this (Sidecar) happens to be built into macOS & iPadOS, rather than being a third-party add-on.
Why does the docking doesn't see the second screen?
Also I tried removing both HDMI cables and add them 1 by 1 but the result is the same.
One guess is related to the fact that your Mac only supports a second screen at some times, and not at others. Maybe you need to plug the second display into the Thunderbolt dock after the lid of your MacBook Air is shut, and things are up and running with the first display. But you said that you tried that, and it didn't help …
Monitors are supposed to have unique IDs, but sometimes a manufacturer will cheat and give the same ID to a number of monitors. If you are unlucky enough to get two from the same batch that have the same ID, that can cause issues. Unfortunately, System Information (Option- / System Information…) does not appear to display this information. (If it did, I would suggest plugging in the monitors one at a time, writing down the IDs, and then comparing them, to see if they differ.)
As I said I would like a docking that works for my MBA and 1 that works for my MBP M4 Max when it is released. Or the Asus docking station will work for both?
If the M3 MacBook Air will let you plug in a Thunderbolt dock that already has two monitors connected, then any Thunderbolt dock (with suitable provisions for dual displays) should work both on the M3 MacBook Air and on a future, hypothetical M4 Max MacBook Pro.
Since we are not down to the case where you are using a Thunderbolt dock with a M3 MacBook Air whose lid is closed, you may want to contact Asus technical support and/or Apple technical support.
Because my other 2 monitors are HDMI output only I wonder which other docking I should purchase if we can get the Asus to work without additional software.
UGREEN Revodok Max 213 Thunderbolt 4 Dock 40Gbps
CalDigit Thunderbolt 4 Pro-dock
UGREEN would not be my first choice for a Thunderbolt dock, mainly because I'm not familiar with them as being one of the main long-term vendors in that area. My impression is that OWC, SonnetTech, and CalDigit have been catering to Mac Thunderbolt users for years, and would be likely to have a deeper bench of experience/expertise when it came to technical support.
That said, it's possible that the issues that you are encountering have nothing to do with problems with the Asus dock. E.g., if your two monitors are incorrectly set up to report the same electronic serial number, that's not the fault of the Asus dock – and would be likely to cause the same problems with any other dock.