Solarpunk

There are some things you can do.

1. Use an old cartridge that is empty, and reset the chip to make it think it's new and full.
2. Buy an ancient printer from like before the 2000s and use that.
3. Don't print the zine, and instead print a template to cut out and use spray paint on. A template that includes a QR code to the zine if it's hosted online, such as the case with sproutdistro. This will be less effective though, as less people will be willing to scan a QR code.
4. Use a stolen printer. So long as the theft can't be traced back to you, you should be fine. The yellow dots only track things like the serial (which ideally doesn't point to you and instead points back to some soulless corp), the time (which isn't all that helpful on its own), and the IP address which can be delt with by not printing over wifi.

Another thing to consider:

Other methods of identification are not as easily recognizable as yellow dots. For example, a modulation of laser intensity and a variation of shades of grey in texts are feasible. As of 2006, it was unknown whether manufacturers were also using these techniques.