I’m also facing the same issue of the distro seems to work fine Ubuntu based or arch Linux is based. I’ve successfully installed manjaro and linux mint no hassles.
my laptop is also a HP here are the specs and it was built this year.
Type: Laptop
Operating System: Windows 10
Screen Size: 15.6"
Display Type: HD
Display Resolution: 1366 x 768
Touch Screen: No
Processor: 11th Gen Intel Core i5
Processor Model: 1135G7
Processor Cores: Quad
Processor Speed: up to 4.2 GHz with Intel Turbo Boost Technology
RAM Size: 8GB
Storage Size: 256GB
Storage Type: SSD
Graphics Brand: Intel Iris Xe Graphics
Graphics Card: Intel SOC
Input/Output: 1x Superspeed Type -C, 2x Type - A
HDMI Input: 1x HDMI 1.4b
USB-A (2.0): 2
USB-C Port: 1
Card Reader: 1x multi-format SD media card reader
Webcam: HP True Vision 720p HD camera with integrated dual array digital microphones
Wi-Fi: Intel Wi-Fi 6 AX201 (2x2)
Bluetooth: 5.0
Colour: Natural Silver
Weight (kg): 2.2
Product Height (mm): 520
Product Width (mm): 69
Product Depth (mm): 305
Additional Features: Fingerprint Reader
Manufacturer's Warranty: 12 Months