Well, unfortunately, you abandoned your Residency a few years ago. Anyone that is a Lawful Permanent Resident (LPR) and is outside of the U.S. for 180 days or more within any 12 month period (not necessarily calendar year) creates a rebuttable presumption of abandonment of residency. That presumption can be rebutted by evidence to the contrary such as filing U.S. taxes, maintaining a home in the U.S. and paying that mortgage or rent, maintaining a U.S. drivers license, U.S. bank accounts with significant movement, etc.
Someone that has been outside of the U.S. for more than 1 year without first having an approved re-entry permit has abandoned their residency and only in very few exceptions (such as serious illness) can they get it back.
Here is an official link:
This will become a problem in one of your trips back into the U.S., when you apply to renew your residency card, or when you apply for U.S. Citizenship.
If you tried to use it to enter the U.S., they would confiscate the card, parole you into the U.S., and schedule you for removal (deportation) before an immigration judge where you would have a chance to prove that you did not intend to abandon it. But stating that you did not intend to abandon it is not enough. This is why I asked if you paid U.S. taxes, maintaing a home in the U.S., etc. So since you did none of those things, a judge will find that you abandoned your status a long time ago.
To avoid all that, you will need to file an I-407 abandonment of Residency form to make it official, and then when you reconcile with your ex, you marry and file for a new Residency status. There is no penalty for having had one and then having abandoned it.
Here is a link on the K-3 or CR-1 process which you can use to apply to get Residency again:
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