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Antoine Your HP laptop should work fine on Solus. As @Brucehankins pointed out, the specifications are more-or-less vanilla.
The only uncertainty (as you noted in your original post) is the wifi/bluetooth card, which is a RealTek. RealTek wifi drivers can be a problem with Linux. However, and this is an important however, after update Solus runs the 51.5 kernel. That kernel is used in all of the Ubuntu 22.04 LTS releases (including all the Ubuntu flavors and most derivatives) and most of the other LTS distro releases from April. The 5.15 kernel is almost certain to be compatible with laptops and desktops from major OEM's, including HP. So I don't think you need to worry about compatibility with Solus.
If there is a problem, it is going to be with the ISO (5.13) kernel. A USB-to-Ethernet adapter should provide a temporary workaround if needed to connect via Ethernet and install the 5.15 kernel as part of the normal update process.
I would not overthink the problem. The computer you've chosen is a solid, mainstream product from a major OEM. Nothing is 100% certain, but Solus is likely to work.