HP Deskjet 3520 All-in-One - Use the STARTING cartridges provided with the print

I warmly welcome!

About a month ago I bought a printer on the Allegro HP Deskjet 3520 All-in-One. Since yesterday I have had a problem with a certain message, namely "Use the STARTING cartridges included with the printer". I didn't get any starter cartridges with the printer, just non-genuine inks. At the time this problem appeared, the inks had not yet been used, but I tried to install fresh inks as well as replacements and the problem is still the same. Of course, I was looking for various solutions on the Internet, the most common way was https://www.elektroda.pl/rtvforum/topic2572803.html and it also doesn't work for me. I don't know what to do anymore, because it's a waste of this printer, especially the money. Maybe not big, but still for the month to work?

In general, the starter inks are there to calibrate the printer and according to information from HP, the printer cannot be started without these inks, and after using them you cannot use them again (actually, it's not true) if you got it without them, you should return it to the seller. If the printer was already working with non-original inks and "suddenly" it did, well, the problem may be in the printer itself and in this case it would be useful to have even used starter inks.

There is a solution to the problem with carcass detection, but I don't know if it will work for the "first" carcass:
Turn on the printer and wait for it to initialize, an ink error occurs, and the printer is silent.
Open the cover, take the carcasses out of the cart and close the cover.
Wait for the printer to "grind" the empty cart and the ink shortage message appears.
Disconnect the power cord from the printer (this is important - switching it off with a button will have no effect)
Wait 2-3 minutes
Wait for the printer to initialize and display an ink shortage message
Install the inks

Other solution:
Enter the support menu according to what is shown in the movie:
https://www.youtube.com/watch?v=NOKzWZvUkaI
1) Back> Cancel> Back> Back
2) System Configuration
3) Ink initialization status
4) Change from "Set" to "Clear"

The printer can be connected to the modem, but the modem may not have assigned the printer address via DHCP or it has not authorized the connection because it does not match the Wi-Fi password and hence "no internet". Hard to say. The easiest way is if you have WPS functions in the modem, then on the printer you click the button with the antenna and hold it until it starts flashing, then on the modem you press the WPS button and in the case of HP, WPS has not disappointed me yet. Then you register in the service and configure e-print, but that's when you connect the printer.
If you do not have WPS in the modem, then the Wi Fi settings are in the printer menu - Menu> Settings> wireless settings, there should be an option (depending on the firmware) Wireles Setup Wizzard which will guide you through the configuration of the wireless connection. If there are no options, you must manually configure all settings in the same menu.
Wireless to ON
Direct WiFi to Off
and adjust each subsequent tab to the settings compatible with those on the router.

I confirm, it works in hp photosmart 5520

1) Back > Cancel > Back > Back
2) System Configuration
3) Ink initialization status
4) Change from "Set" to "Clear"