No need to spend time on the phone to Consulates which often give off-hand and incorrect advice and which, in any event, aren't quotable later, e.g. "but, I called your Consulate..."

The first step is to meet SK's document check. SK will rely on IATA's database, TIMATIC, which is available to you free through a variety of sources. I checked UA's portal and you appear to be fine.

But, I would print that out and have it with you.