Just an FYI for anyone who comes across this. I was having trouble and this is what worked for me:
First, I couldn't get my printer into recover mode with the button code given. I don't think it works for the 2850. So, I just decided to try to run the program in normal mode as suggested above.
I ran the .exe that I downloaded from the website, but when I got to step 4 where you select your printer it said "downgraded (unable to update)" under status. I downloaded the firmware_99 file from this chain, and when I got to step 4 I had no problem! I ran the firmware update and when it was around 80% or so my printer restarted. Then the firmware updater popped up with the error that the firmware could not be updated. DON'T WORRY ABOUT THAT ERROR MESSAGE. Even though it says that, the firmware has in fact been updated. I just checked the version on my machine and it says "BL05K3".
I have not purchased the key yet to try it out with the chipless cartriges but it looks like it worked fine.
Thanks to the admin for all the detailed instructions. It's highly appreciated!