**The white box is likely an electrical cover for the compressor’s start relay and overload protector**, particularly if it attaches directly to the compressor. The relay helps start the motor; the protector cuts power if it overheats or draws excessive current. “ABS” identifies the plastic material. A photo showing the box and its connections would help confirm its function.

**Four clicks per second while the fridge continues cooling suggests vibration or rattling**, though a chattering relay is another possibility. The usual failed-start pattern involves a hum, a click, and a pause before another attempt, often accompanied by poor cooling. [GE’s troubleshooting guide](https://repair.geappliances.com/resources/faq/article/why-does-my-fridge-keep-clicking-on-and-off) describes that pattern.

Start with these checks:

- **Unplug the fridge before inspecting the box.** Check whether its cover is loose or touching nearby tubing or metal. Feeling vibration alone doesn’t establish that the electrical component inside is the source.
- Check that the fridge stands firmly and level, with clearance from the wall. These are Frigidaire’s recommended checks for rattling. [Frigidaire vibration guidance](https://owner.frigidaire.com/support-articles/article/1852998-is-it-normal-for-my-freezer-to-make-vibrating-or-rattling-sounds-)
- If the cover is secure and the clicking persists, have a technician check the start device and compressor. Replace a confirmed faulty relay with the correct part for the full model number.

Avoid putting cardboard inside the electrical cover, adjusting internal screws, or running it with the cover removed. If you notice a burning smell, or the compressor repeatedly tries and fails to start, unplug it and arrange service.

Changing the temperature setting stops the cooling cycle, which explains why the noise temporarily stops; it doesn’t identify which part is making it.