No cold air inside the car

There may be several reasons for your issue. Check here for some of the most important: blower vents not switching
It could be an actuator(motor) that stopped working.

Here is a list of Crown Vic part:
List Blend Door Actuator 2003 Ford Crown Victoria Reilly Auto Parts

Here's an example of what may need to be done in a similar situation:
If you are handy, possibly buying a repair manual similar to this may help:

Can you hear the blend door moving when you change the temp from cold to hot or vice versa? If not, then you need new blend door actuator. Also check the heater core for any blockage. (2 ways to tell....run the car til normal temp, and turn on the heat and feel the hoses by the firewall...if one is hotter than other, there is a blockage inside the heater core. Or disconnect both hoses at firewall, and put garden hose in one of those 2 open tubes and turn on the water...good flow or weak flow coming out of heater core tube? Weak flow means blockage) If there is a blockage, time to get new one.

may be you should make a diagnostic and you can do it in a garage or you can do it by yourself if you want to do it by yourself you need some tools and you can find some good ones here: digiprog 3

Sounds like a blend door problem. The vacuum from the engine opens and closes the door that directs air flow thru the vents.
I would guess the door is stuck in the middle of the range or something is blocking it.
The blend door(s) is behind the glove box.

have your blend motor checked and you blend door

ned to remove the radio and look at the blend door actuator on top of the hvac box. the actuator goes bad and doesn't move the door from hot to cold. if you see the actuator moving but still no cold air then the blend door could be broken.

sounds like the temperature blend door is either jammed or the actuator is shorted ou. when the temperasture control is moved you should hear the door moving...my guess is you are not hearing that..the actuator would be attached to the heater plenum behind dash/glovebox area...becareful to test the correct one as there will be a fresh air actuator and a mode door actuator as well...you can determine which one is which by changing the positions on heater head from hot/col, floor/defrost, recirculate and fresh air settings..each setting will move its designated actuatror..the one not moving would be you temp actuator....have fun!

you have a blend door actuator bad

this problem is caused by a defective air temperature control blend door motor/actuator failing, this little motor moves a door deep inside the dash to either supply ho or cold air or a mix of the two air streams, hence the name "blend" door motor. to replace the part u must remove the dash assembly.

Blend door actuator. When it fails for some reason it turns to the hot side and gets stuck. Dash must come out. I usually do it in 3 hours, because I've done it numerous times.