Multi-touch gestures not working on a touchpad on a Clevo NL4x_NL5xLU

Dear Linux kernel input team,

I Googled this problem for a full day without finding any solution. I suspect the problem I describe below is a issue which should be figured out at the kernel level, it's why I'm writing here.

On the Clevo "NL4x_NL5xLU" computer, released in 2020, the touchpad is not detected correctly, whereas on older Clevo model it is. I mean I could use single gestures on the touchpad but not multi-touch gestures.

I tried on Debian Sid with kernel 5.8, 5.9, 5.10 and 5.11.0-rc4 (compiled yesterday) and the result is still the same.

When looking at "/proc/bus/input/devices" I see:

I: Bus=0011 Vendor=0002 Product=0005 Version=0063
N: Name="ImPS/2 Logitech Wheel Mouse"
P: Phys=isa0060/serio2/input0
S: Sysfs=/devices/platform/i8042/serio2/input/input10
U: Uniq=
H: Handlers=mouse0 event6
B: PROP=1
B: EV=7
B: KEY=70000 0 0 0 0
B: REL=103

On another Clevo model, where the touchpad is detected I get this:

I: Bus=0011 Vendor=0002 Product=0007 Version=01b1
N: Name="SynPS/2 Synaptics TouchPad"
P: Phys=isa0060/serio2/input0
S: Sysfs=/devices/platform/i8042/serio2/input/input10
U: Uniq=
H: Handlers=mouse1 event7
B: PROP=1
B: EV=b
B: KEY=e520 30000 0 0 0 0
B: ABS=66080001100000

What can I do to help you making this touchpad working properly with the Linux kernel? (I don't know a lot about hardware and Linux kernel related stuff)

Thanks in advance.