Any reason why you couldn't just stick some of these metal plates on sides of the pin and glue some rare earth magnets to the channels?
https://www.amazon.com/Magnetic-Nekteck-Replacement-Adhesive-Rectangulars/dp/B074QG6ZV1/
Seems like this would be a much better solution than the magnetic tape, as these plates are ultra thin (0.025" or 0.6mm)
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