A cheap one isn’t going to cut it if it’s plugged into a switch. Have your company buy a decent toner like a Fluke. Something like this: https://www.amazon.com/Fluke-Networks-IntelliTone-Toner-MT-8200-60-KIT/dp/B0749RXGB4
If it’s plugged into a switch the signal can bleed over to other wires but you just need to find the one with the strongest signal. Also if your switches support LLDP, CDP, etc…, you can tell the switch to return what switch and port the cable is plugged into.