Dirty Evaporator Coil (Biofilm)
Moisture and dust accumulate on the indoor coil. Bacteria and mold grow in this biofilm. When AC starts after being off, the smell is at its worst — sometimes called 'dirty sock syndrome.' Common on systems that aren't serviced annually.
Smell is strongest in the first 5-10 minutes of AC operation, then fades (because biofilm dries out during runtime). Often worse after the system was off overnight.
Have a tech professionally clean the evaporator coil with an EPA-approved coil cleaner. DIY: foaming evaporator coil cleaner ($15-25) sprayed through the access panel and rinsed by condensate. Annual maintenance prevents recurrence.