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In principle you can be a tourist anywhere in the Schengen area for 90 days out of every 180 days using your permesso di soggiorno. Going to Zurich is not a problem.
You will also need to carry your documento di viaggio. This is your passport-replacing travel document.
You do not need a visa to transit in the UAE as long as you remain airside. If you want to enter Abu Dhabi you should arrange a visa in advance through Etihad (you can do this on their web site after you have booked your flight).