A very warm welcome to the HP community. A very good day to you.
I understand that you have an HP Officejet 6600 printer and did not receive the setup ink cartridges in the box. However, when you try to install the retail cartridges, a message appears saying thatyou need to insert the original cartridges that came with the printer. Not worry, I'll do my best to help you.
We can make an attempt to bypass this message so that the printer starts using the original cartridges that you inserted. Please view my private message to view the steps.
I sincerely hope this fixes the issue. Let me know how it goes. All the best! 🙂