To be certain, use this link for IATA's TIMATIC database and complete the form carefully. By way of example, you state that you will be entering Israel on an EU passport, but you do not state which EU member state. That may make a difference. When you check in, this is what the staff will use to determine whether to permit you to board. Thus, best to stick to this. What the UK has to say about what another country will do is irrelevant and what a BA phone agent has to say will not matter if TIMATIC provides otherwise.
https://www.united.com/web/en-US/app...aspx?i=TIMATIC