@Tinkerlink, Welcome to HP Support Community!
Check HP Instant Ink requirements
Before you sign up your printer with HP Instant Ink, make sure you meet the following requirements.
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A printer eligible for HP Instant Ink: Go to HP Instant Ink, then scroll down to and click the Check to see if your HP printer works with Instant Ink link to find a list of eligible HP printers.
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A printer with an active Internet connection: The printer must be set up on a wired or wireless network and Web Services must be turned on. This connection is required so that HP Instant Ink can securely monitor your printer’s ink status. A daily connection between your printer and the Internet is not required, but HP recommends that you allow your printer to remain connected as often as possible.
You have mentioned that the printer is connected using WiFi Direct which will allow Instant Ink Enrollment process to proceed as it is just a virtual connection and not active internet connection.
Refer to the document HP Printers - Enrolling in HP Instant Ink for help.
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TEJ1602
I am an HP Employee