Pavilion - 15-ck090nz - touch display does not work on Linux

[LinuxMint]

I have a HP Pavili < on - 15-ck090nz with Linux Mint 22. Touchscreen does not work.

I have Linux Minit 22. with kernel 6.8.0-45-generic, arch x86 64 bits

Serial 5CD7393BHD
Product 2QF52EA
HP Pavilion - 15-ck090nz

xinput --list gives following output:

⎡ Virtual core pointer                    	id=2	[master pointer  (3)]
⎜   ↳ Virtual core XTEST pointer              	id=4	[slave  pointer  (2)]
⎜   ↳ SynPS/2 Synaptics TouchPad              	id=11	[slave  pointer  (2)]
⎣ Virtual core keyboard                   	id=3	[master keyboard (2)]
    ↳ Virtual core XTEST keyboard             	id=5	[slave  keyboard (3)]
    ↳ Power Button                            	id=6	[slave  keyboard (3)]
    ↳ Video Bus                               	id=7	[slave  keyboard (3)]
    ↳ Video Bus                               	id=8	[slave  keyboard (3)]
    ↳ Power Button                            	id=9	[slave  keyboard (3)]
    ↳ AT Translated Set 2 keyboard            	id=10	[slave  keyboard (3)]
    ↳ Wireless hotkeys                        	id=12	[slave  keyboard (3)]
    ↳ HP WMI hotkeys                          	id=13	[slave  keyboard (3)]

$lsbusb gives following output:

Bus 001 Device 001: ID 1d6b:0002 Linux Foundation 2.0 root hub
Bus 001 Device 002: ID 0bda:58e6 Realtek Semiconductor Corp. HP Wide Vision FHD Camera
Bus 001 Device 003: ID 8087:0a2a Intel Corp. Bluetooth wireless interface
Bus 002 Device 001: ID 1d6b:0003 Linux Foundation 3.0 root hub

Hope someone can help. It's a pity that HP does not directly support Linux.