Curious case of the mystery top (i)

The tippe top toy is one of the great mysteries of science. As you see below, when it is set to spin with sufficient angular velocity, the top turns itself over and spins on its stem for a while until friction slows it down.

Suppose we draw an arrow on the upright tippe top, pointing counterclockwise, as so

If we spin the top counterclockwise (in the direction of the arrow), what will happen when the tippe top turns over to spin on its stem?

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