same issue but sound near hydraulic pump
we have 00 3.9 LS and have the same issue with a chirping or squeaking sound on first startup, after a bit, it quiets down beyond my ability to hear it. The only thing is the chirp/squeak is coming from the hydraulic pump area.
I did a quick test when the car was cold and the chirp/squeak was happening, by using a squirt bottle with water and spraying a stream on the belt surface at the idler pulley. When the water hit the pulley/belt the squeak stopped momentarily, then resumed. Repeating the procedure produced the same results.
I replaced the belt and the unflanged idler pulley (top left of center facing the windshield). The reason for the pulley change was a bunch of rubber crud on the surface which contacts the belt. Not sure if someone (previous owner) sprayed some junk on it or not, but looked problematic. Also the pulley (with the belt off) had a slight rocking motion. Not much, but a tiny bit of play.
Of course there was no sound when I started the car as it was warm from previous errands.
Unfortunately, the next morning my wife went out and started it, only to get the same sound again. With the car running and hood up, the chirp/squeak appeared to be centralized in the area of the hydraulic pump/pulley.
The car does not overheat and after the chirp/squeak dies off, it sounds good.
Wonder if anybody has had a similar experience.
After reading posts going back to 2004, almost everybody has had this issue apparently.
best
Greg