I am a US permanent resident but I have lost my physical green card.
I am currently abroad and due to return (permanently) to the US, but won't be able to get a replacement card or boarding foil in time.
I do have my passport and am from a visa waiver country. I have a copy of the green card and other documents proving ties to the US. While I won't be working immediately after getting to the US it's clear I'm not a tourist: I am bringing lots of luggage and travelling with my US partner.
So there are (at least) two issues: being allowed on the plane by the airline, and being let into the US by immigration.
Is there any way for me to get into the US on my already-booked flight? Could I use the ESTA to be allowed on the plane, then have US immigration look up my green card digitally at the US border? Could I enter the US on the travel visa, then re-enter within 90 days on a replacement green card?