First step: I went to 2manuals.com and downloaded the free WIC Reset Utility (at the time of this post, it's v.5.57) at (choose the version for your system e.g. Apple or Windows).
Third, I watched a YouTube video called: "Epson WF4630 Firmware Downgrade Always Full." The guy in the video is kind of rough, but he walks you through the software fairly well. In his video, he was attempting to permanently reset the ink levels for his cartridges. That's not what I needed to do to fix my problem, but the guy in the video does a nice job walking you through the WIC software. In the steps below, I used the WIC Reset Utility software to downgrade the firmware version for my WF-3640 to an older version - a version that doesn't tell the printer to brick itself if non-genuine Epson cartridges are installed. For reference, the downgraded firmware that the WIC software eventually installed on my printer was a version from March 3, 2016 (version CB17J4) - I assume that was the original firmware that was installed on this printer when it was manufactured and sold new 4 years ago. The painful part of this whole process is that I had to purchase a "key" for the WIC software to use in order to download that firmware. I could not figure out any other way to get a key. Unfortunately, they can only be used once. Otherwise I would gladly share my code with everyone. Read below...
Fourth, (and this part sucked) as noted above, I painfully paid the $19.99 for a firmware change key for the WIC reset utility, and paid for that through PayPal. Although physically cringing when I did it, it was an easy process. I got a 16-digit code (key) that can only be used once. (NOTE: there are other websites that purport to sell a "WIC reset key generator," and they claim that they will give you your first key for free, but each one of these sites requires you to enter all of your credit card information first - apparently in case you ever want to buy more key generating software from them?? I don't know). Anyway, I chose not to do that (purchase a key generator), even though it might be legit, and instead used PayPal for the one-time purchase through www.wic.support. You can dig around on the internet, and there are more than one site that sells them. I simply chose that one. Please understand that I am in NO WAY affiliated with www.wic.support. This was the first time I had ever heard of them, and I hope to never pay them another penny again. However, I must say, I was so frustrated that I was just about ready to order a new printer for about $180 on Amazon - so, to me, twenty bucks seemed worth a shot, even if it didn't work.
If You want to pay by Visa, Master Card etc., WebMoney - just click on BUY button ahead. Pay by PayPal or other local payment systems - go here to pay.If You have Epson printer You can use Trial key for first time - it will reset counters from 100% to 80%. Please read about Trial Key here - Video 2b1af7f3a8