Hey there! @Nomienome,
“Your Instant Ink account page has data on past deliveries and estimated shipments. It also helps you understand what state your cartridges are in based on HP’s data. Any issues will be shown with steps to fix. Please check your account page to see the latest cartridge information by signing into your account at “instantink.com”.
You can login into your instant ink account page and at the right side of the page you should have re-enroll option. Click it to enroll back to the program.
If you canceled your HP Instant Ink service, but changed your mind, you have until the end of the current billing cycle to stop the cancellation. Check the status of your cancellation, and then click the button to keep the enrollment. If the button to keep the enrollment is not available, you can re-enroll the printer.
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Go to hpinstantink.com/signin (the HP Connected website) to sign in to your HP Instant Ink account, if you are not signed in already.
Your HP Instant Ink account page opens.
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Evaluate the printer Status.
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If a Cancellation in Progress message displays in the My Account section, click Keep Enrollment, and then follow the on-screen prompts to stop the cancellation.

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If a Not Enrolled message displays, or if the account page for the printer does not display, the cancellation has been completed. Follow the steps in Enrolling in HP Instant Ink to re-enroll your printer.

Also, if you have issues registering in instant ink. Please share instant ink details in a private message, so I can check the records and help you in registering with instant ink.
Instant ink Email Address
Instant Ink Account Number
Refer this article to know more information about enrolling in HP instant ink.
Also, refer this article to know more about instant ink.
Hope this answers your query!
I hope you have a great day! 🙂
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A4Apollo
I am an HP Employee