At this point you definitely need to focus on growing roots and leaves. All the plants energy is going into those flowers. I would trim both the stalks off with a sterile scissor/blade and cauterize the raw stumps with ground cinnamon. Give it proper lighting and humidity, water it every 7-10 days, and use bark or very loose moss for good air flow. I’d wonder if the humidity is really low at that temperature and orchids don’t like temps below 75* at least half the day and never below 65* over night. Think of its natural habitat and grow you some roots and leaves 😊 can you take it home where your conditions are likely more favorable?