Thanks for the answer,
Here is what changed after connecting the USB-C hub with the HDMI.
[Wed Jan 22 13:56:48 2025] usb 1-1: new high-speed USB device number 25 using xhci_hcd
[Wed Jan 22 13:56:48 2025] usb 1-1: New USB device found, idVendor=xx, idProduct=xx, bcdDevice= xx
[Wed Jan 22 13:56:48 2025] usb 1-1: New USB device strings: Mfr=1, Product=2, SerialNumber=xx
[Wed Jan 22 13:56:48 2025] usb 1-1: Product: USB2.0 Hub
[Wed Jan 22 13:56:48 2025] usb 1-1: Manufacturer: VIA Labs, Inc.
[Wed Jan 22 13:56:48 2025] hub 1-1:1.0: USB hub found
[Wed Jan 22 13:56:48 2025] hub 1-1:1.0: 4 ports detected
[Wed Jan 22 13:56:48 2025] usb 2-1: new SuperSpeed USB device number 18 using xhci_hcd
[Wed Jan 22 13:56:48 2025] usb 2-1: New USB device found, idVendor=xx, idProduct=xx, bcdDevice= xx
[Wed Jan 22 13:56:48 2025] usb 2-1: New USB device strings: Mfr=1, Product=2, SerialNumber=xx
[Wed Jan 22 13:56:48 2025] usb 2-1: Product: USB3.0 Hub
[Wed Jan 22 13:56:48 2025] usb 2-1: Manufacturer: VIA Labs, Inc.
[Wed Jan 22 13:56:48 2025] hub 2-1:1.0: USB hub found
[Wed Jan 22 13:56:48 2025] hub 2-1:1.0: 4 ports detected
[Wed Jan 22 13:56:49 2025] usb 1-1.4: new high-speed USB device number 26 using xhci_hcd
[Wed Jan 22 13:56:49 2025] usb 1-1.4: New USB device found, idVendor=xx, idProduct=xx, bcdDevice= xx
[Wed Jan 22 13:56:49 2025] usb 1-1.4: New USB device strings: Mfr=1, Product=2, SerialNumber=xx
[Wed Jan 22 13:56:49 2025] usb 1-1.4: Product: USB2.0 Hub
[Wed Jan 22 13:56:49 2025] usb 1-1.4: Manufacturer: VIA Labs, Inc.
[Wed Jan 22 13:56:49 2025] hub 1-1.4:1.0: USB hub found
[Wed Jan 22 13:56:49 2025] hub 1-1.4:1.0: 4 ports detected
[Wed Jan 22 13:56:49 2025] usb 2-1.4: new SuperSpeed USB device number 19 using xhci_hcd
[Wed Jan 22 13:56:49 2025] usb 2-1.4: New USB device found, idVendor=xx, idProduct=xx, bcdDevice= xx
[Wed Jan 22 13:56:49 2025] usb 2-1.4: New USB device strings: Mfr=1, Product=2, SerialNumber=xx
[Wed Jan 22 13:56:49 2025] usb 2-1.4: Product: USB3.0 Hub
[Wed Jan 22 13:56:49 2025] usb 2-1.4: Manufacturer: VIA Labs, Inc.
[Wed Jan 22 13:56:49 2025] hub 2-1.4:1.0: USB hub found
[Wed Jan 22 13:56:49 2025] hub 2-1.4:1.0: 4 ports detected
[Wed Jan 22 13:56:50 2025] usb 2-1.4.4: new SuperSpeed USB device number 20 using xhci_hcd
[Wed Jan 22 13:56:50 2025] usb 2-1.4.4: New USB device found, idVendor=xx, idProduct=xx, bcdDevice=xx
[Wed Jan 22 13:56:50 2025] usb 2-1.4.4: New USB device strings: Mfr=3, Product=4, SerialNumber=xx
[Wed Jan 22 13:56:50 2025] usb 2-1.4.4: Product: USB3.0 Card Reader
[Wed Jan 22 13:56:50 2025] usb 2-1.4.4: Manufacturer: Generic
[Wed Jan 22 13:56:50 2025] usb 2-1.4.4: SerialNumber: xxx
[Wed Jan 22 13:56:50 2025] usb-storage 2-1.4.4:1.0: USB Mass Storage device detected
[Wed Jan 22 13:56:50 2025] scsi host3: usb-storage 2-1.4.4:1.0
[Wed Jan 22 13:56:50 2025] usb 1-1.4.3: new high-speed USB device number xx using xhci_hcd
[Wed Jan 22 13:56:50 2025] usb 1-1.4.3: New USB device found, idVendor=xx, idProduct=xx, bcdDevice= xx
[Wed Jan 22 13:56:50 2025] usb 1-1.4.3: New USB device strings: Mfr=1, Product=2, SerialNumber=xx
[Wed Jan 22 13:56:50 2025] usb 1-1.4.3: Product: USB 2.0 BILLBOARD
[Wed Jan 22 13:56:50 2025] usb 1-1.4.3: Manufacturer: VIA Technologies Inc.
[Wed Jan 22 13:56:50 2025] usb 1-1.4.3: SerialNumber: xxx
[Wed Jan 22 13:56:51 2025] usb 2-1.4.1: new SuperSpeed USB device number 21 using xhci_hcd
[Wed Jan 22 13:56:51 2025] usb 2-1.4.1: New USB device found, idVendor=xx, idProduct=xx, bcdDevice=xx
[Wed Jan 22 13:56:51 2025] usb 2-1.4.1: New USB device strings: Mfr=1, Product=2, SerialNumber=xx
[Wed Jan 22 13:56:51 2025] usb 2-1.4.1: Product: USB 10/100/1000 LAN
[Wed Jan 22 13:56:51 2025] usb 2-1.4.1: Manufacturer: Realtek
[Wed Jan 22 13:56:51 2025] usb 2-1.4.1: SerialNumber: xxx
[Wed Jan 22 13:56:51 2025] r8152-cfgselector 2-1.4.1: reset SuperSpeed USB device number xx using xhci_hcd
[Wed Jan 22 13:56:51 2025] r8152 2-1.4.1:1.0: load rtl8153b-2 v2 04/27/23 successfully
[Wed Jan 22 13:56:51 2025] r8152 2-1.4.1:1.0 eth0: v1.12.13
[Wed Jan 22 13:56:51 2025] r8152 2-1.4.1:1.0 xxx: renamed from eth0
[Wed Jan 22 13:56:51 2025] scsi 3:0:0:0: Direct-Access Generic MassStorageClass xx PQ: 0 ANSI: xx
[Wed Jan 22 13:56:51 2025] scsi 3:0:0:1: Direct-Access Generic MassStorageClass xx PQ: 0 ANSI: xx
[Wed Jan 22 13:56:51 2025] sd 3:0:0:0: Attached scsi generic sg1 type 0
[Wed Jan 22 13:56:51 2025] sd 3:0:0:1: Attached scsi generic sg2 type 0
[Wed Jan 22 13:56:51 2025] sd 3:0:0:0: [sdb] Media removed, stopped polling
[Wed Jan 22 13:56:51 2025] sd 3:0:0:0: [sdb] Attached SCSI removable disk
[Wed Jan 22 13:56:52 2025] sd 3:0:0:1: [sdc] Media removed, stopped polling
[Wed Jan 22 13:56:52 2025] sd 3:0:0:1: [sdc] Attached SCSI removable disk
I am tending to believe that the issue is more about how the laptop is handling the power for the second screen. When I connect any other USB device, it tends to turn off the second screen and it does not turn it again. Neither after diconnecting and connecting the full adaptor. I need to turn off the computer and restart again several times until it catches the second screen properly.