Mine was the same chime that indicates your headlights are still on after the engine is turned off and the door is opened, or the key in ignition with the door open, it's under the driver's dash.
Found it and just unplugged the chime.
No biggie. The light in the dash still works for low fuel, been this way for 3. 5 years. Door chime has been out for 5. 5 and my truck is a 96.
Good luck