This isn't going to do what you want.

This one might: https://smile.amazon.com/F02-Underground-Locator-Tracker-Earphone/dp/B01GDZLZOU/ref=sr_1_3?crid=1XY7WCUGMLEOP

I have that one, and I have something like what you asked about. The circuit tracers aren't designed to tell you where a break is, only where the wire you are looking for is. While it will sort of tell you where the break is, the accuracy is going to be lousy. The one I suggest is designed to do exactly what you want: find a break in a wire. It will get you within a couple inches of the break. But it's designed to be used with a real earth ground, and I'm not sure it will work with the ground in the same cable. You may have to use another wire a few feet away from the floor cord but following the same path as a pseudo earth ground. It's returnable if it doesn't work for you. I use it for the purpose it's designed for (find a break in an invisble dog fence wire) and it works really well for that purpose.

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Now, a real TDM will tell you where the break is, in meters, from the end: https://smile.amazon.com/Triplett-TDR100-Length-Tester-Reflectometer/dp/B08BTKW2B1/ref=sr_1_12_sspa?crid=38T0P3DQ0QEG&keywords=time+domain+reflectometer&qid=1636592111&sprefix=time+domain+r%2Caps%2C176&sr=8-12-spons&psc=1&spLa=ZW5jcnlwdGVkUXVhbGlmaWVyPUExS0NNVVRQT1dVOTFRJmVuY3J5cHRlZElkPUEwMjYxMzUwWldNM0xCUjc3MThYJmVuY3J5cHRlZEFkSWQ9QTA2MDM2MDcxWjJZTUU3NUJJMVRSJndpZGdldE5hbWU9c3BfbXRmJmFjdGlvbj1jbGlja1JlZGlyZWN0JmRvTm90TG9nQ2xpY2s9dHJ1ZQ==

That will work for sure.