Turkish Airlines Denied Boarding Despite Early Arrival - Unresolved Complaint and Financial Losses

We bought three tickets from THY for our friends to go to the airport in Giresun. On the day of the flight, we got to the airport an hour before takeoff and used the self-service ticket machine to try to check in. The person at the booth looked up our flight information and told us there were no more seats left on the plane. Even though there were still about 50 minutes until the plane was supposed to leave, this happened. The worker told us that the information on the kiosk could be wrong and suggested that we go to the main check-in desk. We walked through the airport with our carry-on bags in hand, hoping to speed up the check-in process and get on the plane as soon as possible. But the main counter was a long way away and had a long line. When we got to the counter, we were sent to a different one to be processed. This whole thing took about 42 minutes, so we didn't have much time left before our trip. The person working the desk told us that we couldn't get on the plane at that time. When we said no, we were sent to a different person who told us the same thing: we couldn't get on the flight. Their suggestion was to call customer service and file a complaint. A few days after we complained to customer service, we got a poor answer. Our account was only refunded the VAT fee. Because this wasn't a good option, we had to rent a car and start our trip, which cost a lot more than we had planned. Even though we had been in the boarding area for more than 30 minutes, our flight was late, so we couldn't get on. All three of us have been hurt by this situation. As a group, we'd like THY to help us fix this problem and make up for the money we lost because of the airline's poor planning. We think it's important for THY to keep their promise to make customers happy and think about how these problems affect their guests.