The Intel AX201 is a very new wifi module. It requires kernel version 5.2.x as a minimum. However currently, as of December 2019, Ubuntu 18.04 LTS is packaged with a 5.0.x kernel, and will not come with a kernel new enough to support it out of the box till sometime around February 2020. This is why you'll notice the network module being marked as unclaimed. That is to mean that there is no driver attached to it that can run the hardware. While Canonical strives to ensure that new hardware will always get support as soon as possible (these kernel updates are provided as part of the Hardware Enablement stack), computers with this wifi card will currently have to install a pre-release (a beta designed for developers to test their hardware) version of the kernel to gain wifi.
Install the new kernel this way:
sudo apt install linux-generic-hwe-18.04-edge
and you should be on your way. (the -edge denotes that this is the pre-release)
It is worth pointing out that there are many ways to install a kernel - one possibility is to install a kernel directly from the Linux mainline. However this is generally not recommended as this is only used to help test compatibility for future stable releases, and an optimized version for your distro can often be found instead to improve performance. What is best is to install a kernel update developed for your distro and version specifically.
Hope this helps someone in the future!
sudo modprobe iwlwifi && dmesg | grep iwl
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