Pivot joint replacement

A quick learner from Dracut, MA says:
May 16, 2020
I am trying to replace the pivot joints in 4 of my tilt windows. I already ordered spiral balances, but I'm having a hard time finding a pivot shoe that works in my existing frame. (I have included a picture of the end of one of the old balances for reference, the new ones will match the size/style.)

There were no visible markings on my existing hardware.
The pivot joints measure 1 1/4" x 2", and the width from the back of the shoe to the front of the outward-facing legs is between 3/4" and 13/16". Please get back to me with any suggestions!
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Paul from SWISCO responded:
May 21, 2020

I unfortunately don't recognize this pivot shoe off the top of my head. To further help you, we need the width and height of the pivot bar that fits into the nylon center cam in the pivot shoe. I will also like the depth of the window track.

Since I can't find this pivot shoe, my thinking is that I can find you a substitute that fits in the same space and works with the same hardware. Knowing that information will let me find something that fits that criteria.
Spiral Balance Charging Tool for Tilt Windows
Spiral Balance Charging Tool for Tilt Windows
75-006
$9.97
How to replace a tilt window spiral balance.
How to replace a tilt window spiral balance.
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How to adjust a spiral balance on a tilt window
How to adjust a spiral balance on a tilt window
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