advanced passenger information for long transit stop in jfk on way to ecuador via miami

advanced passenger information for long transit stop in jfk on way to ecuador via miami?
hi there, We are flying with american airlines from london heathrow to ecuador via jfk and miami - we have a 9 hour overnight wait in jfk and then a 8 hour wait in miami by day. So we are not actually staying in america, but obviously we have to go thru immigration to get onto the miami flight. But what should we put on the visa waiver form and what should we give as advanced passenger information re: addres in usa? ie. airline need us to supply an address in usa. do we put waiting in airport? or in transit? or should we just find a hotel and put that? apparently if you transfer to intnational flight within 8 hours, you can just put in transit on form. but we are waiting more than 8 hours, plus its a domestic flight. so really - we are deemed as in the usa. please please please has anyone ever done such a crazy journey b4 with so many stops and long waits in us airports? if so, what did you put on visa waiver form and advanced passenger information? thanks Thanks for your answer. so on the visa waiver form we could put in the "ADDRESS WHILE IN THE USA - (NAME AND STREET)" - CONNECTING TO ECUADOR. Then in the City and State Line. Miami FL ? Plus what shall we tell american airlines? (ie. we have the option of adding address in USA to booking online. shall we do this - and just add all this in. ? or better to just tell them at the airport when checking in to explain it all and ensure we are doing the right thing?)
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On the address line you fill> CONNECTING to ECUADOR City: Miami State: FL And they will ask you for the corresponding boarding passes. If you decide to over-night at a Hotel, you will include that address. Please bring your proper reservation. Advance passenger information is mainly your passport number and home address and final destination. Not to worry!