Troubleshoot Epson WF-3620 Not Recognize Cartridges - Refill, Unclog and Reset T252

We refilled and unclogged an Epson WF-3620 WorkForce printer. There were significant problems recognizing the cartridge. We sum up the errors and show solutions.
9:16 How to make printer to accept a third-party cartridge
14:10 Troubleshooting: problem with the black cartridge
14:30 Printer's "happy screen".
16:04 Flush the printhead again
17:09 Troubleshooting: Cannot recognize the cartridge. The printer shows the cartridges are installed correctly but the printer quits after a few seconds.
20:00 Problem Solved
24:00 What to do with the "ink is low" error, and how to reset chips
Product used:
Titration Tubes
Flushing Syringe
Cleaning Solution
Clear Dye Ink
BCH Dye Ink