It sounds like your GLE C292 coupe might be experiencing issues with the blend door actuators or the HVAC control module. When the temperature is set to the lowest setting and the A/C functions correctly, it indicates that the cooling pathway is working, but increasing the temperature likely requires the blend doors to adjust to allow warmer air, which might not be happening properly. A faulty blend door actuator can prevent the doors from moving to the correct positions, causing the system to blow hot air when it shouldn't. Additionally, the malfunctioning recirculation mode button suggests there could be an issue with the HVAC control module or the wiring connecting these components. Another possibility is that the interior temperature sensor is providing inaccurate readings to the ECU, leading to improper temperature regulation. It's also worth checking the fresh air intake system for any blockages or actuator failures that might be affecting the airflow, especially at higher speeds where different airflow dynamics come into play. You should probably run a full system scan. There should be fault codes on at least one or more control modules related to this. You'll either need to take it to a mechanic, but if you want to figure this out yourself, then you'll need to get a full system scanner. The youcanic full system scanner is very good at diagnosing all systems, and there are other scan tools that can do this. Just be careful to use a full system scanner or you may scan the car and see no fault codes as some scanners cant read all vehicle systems. If this helps, I would appreciate a thumbs up.