I have Irish, British and American citizenship and currently hold valid Irish and British passports and an American passport issued when I was a child that has been expired for over 10 years. I currently live in the UK. I have a job in the US I will be working for 12 weeks this summer beginning the first week of June, with a flight booked for June 1st.
I have been checking the US embassy in London's website, earlier this year they had no routine appointments available for passport applications and said to apply for an emergency passport 4 weeks before the date of travel. Now they are only accepting applications for emergency appointments 5 days before the date of travel. If I wait until 5 days before my flight how likely is it that I will be able to get both an appointment and receive my emergency passport in those 5 days?
If it is unlikely I was wondering if it would be possible to apply for an ESTA and enter the US using my Irish passport, then renew my American passport when I arrive to then be employed as a US national and leave the country on my American passport?
I cannot apply for any work visas as the company made explicit I was only being hired as a US national and they cannot assist with visa applications.