I am not sure if disconnecting the battery (negative terminal) for only two minutes clears anything.
I think the shop manual says at least 5 mins., but most use anywhere from 10 minutes to two hours.
Here's how you clear it via the satc system;
Perform the SATC System Self Test using the procedure that follows. Record all trouble codes displayed during the self test.
The self test can be initiated at any time with any resulting trouble codes. Normal operation of the system stops when self test is activated.
To enter self test, position the blower control knob at AUTO and the Function Selector Knob in either PANEL or FLOOR.
Then, press the COOL and OUTSIDE TEMP buttons simultaneously and press the WARM button within two seconds. The display will show a tracer segment going in a counterclockwise direction in the center of the display window during the self test.
When the self test is completed, Trouble Codes for any fault will be displayed in the VFD Window. If no faults are found, all display segments will illuminate.
To exit Self Test and RETAIN all Trouble Codes, press the COOL (BLUE) button.
To exit Self Test and CLEAR all Trouble Codes, press the OUTSIDE TEMP button and then, press the WARM button.
After exiting the Self Test, the ignition should remain ON for at least 25 seconds to allow the temperature blend door actuator to calibrate.
Steve - TCCoA member
2003 Crown Vic LX Sport
1995 T-Bird LX 4.6 retired at 247,888 miles
Thanks for the ride !