[iotg][tgl-h] HDMI, DP monitor using USB-C adapter is not detected

[Summary]
Image: iotg-focal-desktop-20210813.img

Using a USB-C adapter, you can connect an external monitor using DP or HDMI. But when you try with this DUT, the monitor is not detected under Settings.

[Steps to reproduce]
Connect USB-3 adapter with HDMI and DP ports
Try the HDMI port then the DP port.

[Expected result]
Ubuntu should detect the monitor under Settings.

[Actual result]
Ubuntu fails to detect an external monitor.

[Failure rate] 100%

[Additional information]
CID: 202109-29412
SKU:
system-manufacturer: Intel Corporation
system-product-name: Tiger Lake Client Platform
bios-version: TGLIFUI1.R00.3455.A02.2011240812
CPU: 11th Gen Intel(R) Core(TM) i5-1145GRE @ 2.60GHz (8x)
GPU: 00:02.0 VGA compatible controller [0300]: Intel Corporation Device [8086:9a49] (rev 01)
kernel-version: 5.11.0-1012-intel

[Stage]
Issue reported and logs collected right after it happened