Okay, finally got to another dealer...
Service writer took the VIN, checked the computer, and said that there are two open "recall" items (actually, extended warranty). Said straight away that they will fix those for free. If the evaporator is also leaking, as suggested by the different dealer, he said I can fix that later, if necessary. This dealer was close to my house, so I handed him the keys and walked home. Fingers crossed.
BTW, while lamenting how the first dealer acted, this guy said it's odd. Extended warranty items are like free money to dealers.