Hi all, can someone please help me identify this connector in the battery compartment. I had to remove the battery and I found this loose, not connected to anything. I have ProTool but I didn't have any codes before I removed the battery.

The part has 61.3-8 387 352 stamped on it but a Google search did not come up with anything relevant.

I'm assuming this should be plugged into the positive side of the battery?

Thank you!

( I apologize for the typo in the title)