It sounds a little more like the refrigerant level may be low. A few simple tests are:
Does the air get hotter if the temperature setting is adjusted to full heat? Does it return to moderately cool again after the setting is readjusted to full cold? If the answer is yes to both the refrigerant level is most likely your problem.
With a cold engine in the cool part of the day does the driver’s side seem much cooler and then warm as the engine temperature rises? Again, if yes to both the refrigerant charge level would be suspect.
At the firewall, under the passenger side of the engine compartment you will find the accumulator tank and two aluminum lines that enter the firewall. Are both lines cold when a cold engine is first started? Do they both stay equally cold as the engine is run for several minutes? If yes to both of these questions then the refrigerant level is not the likely cause of the problem.
Does the smaller line feel much cooler than the large line after several minutes of the engine running with the a/c on? If the smaller line is much cooler than the larger then again the refrigerant charge level is suspect.
If we don’t get compelling data from the above observations/testing I would suggest removing the driver’s temperature door actuator and turning the door shaft with your fingers to see if you can make the driver’s side air as cold as it should be.