Arriving this Monday LX 41 LAX - ZRH then transfer to LX1956 (ZRH - BCN)
Carrying US Passport

Flightstats tells me that LX41 usually lands Terminal 2, and LX1956 departs Terminal 1

So - I clear Schengen Immigration upon Arrival ZRH, but not customs.

QUESTION: Since there are two different terminals involved - do I need to leave Airside security zone to switch between them?

Much appreciated.