Buy European

wdym by free and federated? i just use arch because i like it, but mint for say is also free. i personally have an ACER laptop running EndevourOS, but Tuxedo Computers is a German company that ships their machines with linux pre-installed

Most Linux distributions are free (free as in beer and free as in free speech and freedom to modify). Some are backed by big corporations with questionable activities (e.g., Ubuntu owned by Canonical adding ads and data tracking by default).

Federation is a different concept (relating to the interconnecting of content platforms, such as email or Lemmy).

Linux itself is the underlying kernel code which programs talk to act as a mediator between software and hardware. Each Linux distribution is basically a software suite built on-top.

Arch is specifically notable for having a very fast software update cycle.

In contrast, Debian is a distribution with the "slow and stable" mantra. Software officially supported and distributed for it only receives updates every few years after extensive stability testing. The goal is to never have a random update break anything. This also means it is slow to receive support for new hardware unless you manually install it. It often supports running newer software but it won't be nicely managed by the OS and you'll be doing manual work to maintain it. The consequence? I have a new graphics card, and booting into Debian just gives me a black screen. I needed to use the terminal to download and install Nvidia's driver myself.

Arch isn't so concerned with stability. It's still tested, but their goal is to make sure new hardware and software advances can be used right away. Think weeks instead of years. This means it will support newer hardware and any news about Linux advancements will be on your machine before long. It also means that sometimes things slip through the cracks and one piece of software might break, or break another one. You might need to pay attention to Arch news before updating to see if there are any incompatibilities before updating.

There are different distributions building on top of these. Arch itself must be installed from scratch, a tricky process. Debian is more streamlined. Ubuntu is built on Debian, having lots of stability, but has alternative software repositories to keep things a bit more up to date. Arch has variations that make it easier to install.

Arch gives more flexibility in what you install and more control of your system. Debian has lots of flexibility as well. Ubuntu has a bit less. Mint is a popular choice, built on Ubuntu, and it removes some of the "chaff" people complain about being added into Ubuntu.

Linux distributions can run on basically anything. A smart toaster might run Linux. If it can run Windows, it will probably run a Linux distribution with a quarter of the memory usage at double the speed because Windows hogs resources with unnecessary and unkillable software in the background.

Is arch Linux now the “new” free/federated version?

Not sure to understand the question. There are many non-corporate owned distributions, starting with Debian, not just Arch.

And on what non-US laptop can I run it?

Any non-US laptop is supposed to run just fine. One needs to set the correct locale (generally it will be the first question asked by the install assistant: what country are you in and what keyboard layout do you want to use)?

I run Mint and prior to it I was running Debian (and prior to that it was Arch) on my French Azerty layout laptop without any issue (the same with the desktop and it's azerty keyboard)

The only potential issue will be disk encryption at boot but I can say it works flawlessly with Mint (and did so with Debian too, as far as I can remember)