ISSUE
Steam client doesn't recognize inputs from GameSir T3 Pro "Tarantula" in wired DS4 mode

OS
Windows 10 Pro x64 22H2

STEPS
Connect GameSir T3 Pro to PC with USB cable
Put it in DS4 mode

RESULTS
It is listed among controller tabs in Settings->Controller, but no input is recognized in "Test Device Inputs" window

The device and inputs are properly recognized by Windows' "Game Controllers" utility, so I'm sure it's with the client.

In comparison, the controller does work with Steam client in:
Wired, XInput mode
2.4g Wireless, DS4 mode
2.4g Wireless, XInput mode

EXPECTED
Inputs should be recognized as with 2.4g Wireless mode