Does the vehicle have air conditioning? If so does it work? Also are you running the system in fresh air or recirculate?
Yes, it is a common problem. I will attach a bulletin that addresses the issue.
Vehicle Fogging/Climate Control Slow To Cool Vehicle - Air Blend Door Loose - Repair Procedure
On some 2002-04 MY X-TYPE vehicles within the above VIN range, customers may have concerns with the vehicle interior fogging or the climate control cooling the vehicle slowly.
The concern may be caused by the air inlet blend door being loose on the actuator shaft.
In case of a customer complaint of the above condition on a 2002-04 MY X-TYPE vehicle within the above VIN range, first test the operation of the air inlet blend door. Set the fan speed to MAX and manually de-select the recirc button, there should be an audible difference in the climate control temperature motor noise. If the volume stays the same then the air inlet blend door is suspect.
To rectify follow the workshop procedure outlined below.
Warranty claims should be submitted quoting the information found in the table.
This will result in payment of the stated time and, where applicable parts/miscellaneous expense codes as listed.