As a follow-up on my post above and if helpful for someone else who had or will experience the same situation, I checked the USCIS website and found out that when the border officers make a mistake on your immigration status when you are admitted in the US you need to have it fixed by visiting the relevant Deferred Inspection Unit which varies depending on your POE. In my case, the unit was located in Terminal 5 of JFK. I first called them and they confirmed they needed to amend the status from admitted to paroled in the US. The process was pretty easy, I went back to the airport a few days after I came back to the US and handed the officers my passport and AP document, in and out in 15 minutes.