Good evening, it looks like there is a driver for Linux,
https://developers.hp.com/hp-linux-imaging-and-printing/
As with all drivers and software it is recommended to download it via the package manager, I could find the driver under the name hplip:
https://packages.ubuntu.com/search?suite=default§ion=all&arch=any&keywords=hplip&searchon=names
https://www.archlinux.org/packages/extra/x86_64/hplip/
so accordingly in the terminal
sudo apt install hplip
or
sudo pacman -S hplip
Type in.
Of course it depends on what package manager you have installed, worst case there is still a snap version of this package.
Unfortunately, I can't confirm how well it works or help in any other way, as I bought this printer as a gift.
According to https://www.hp.com/de-de/shop/product.aspx?id=t8x19b&opt=629&sel=prn#accessories, 304XL cartridges HP 304XL (BK) and HP 304XL (M, C, Y) are listed as compatible.
I don’t have much experience on this, but i know that all devices have to be connected to the same wifi. Printer connection aso goes via wifi and not Bluetooth. Hope this helps.
The scope of delivery does include cartridges for the incubation and the first tests. However, these are only 1/4 full. So they are not enough for a long time
Nein, es ist night möglich. No, it is not possible. You need a smart-phone or a computer to control the printer: scan, retrieve the image and send it by example.