The easiest move is to install your eSIM at home, before you ever leave for the airport. After you buy, you get a QR code by email. Open your phone settings, go to the mobile data or cellular section, tap to add an eSIM, and scan that code. The profile loads in about two minutes. You do not turn it on yet. You just install it.
Do this while you are on your home WiFi. You need a working internet connection to load the profile, and you do not want to be hunting for signal in a busy terminal. Once it is installed, it sits quietly on your phone until you reach the Philippines.