That is the best reducer for your application. Here we call them carpet reducers, but who cares about a name, lol. If the abutting floor is too high to support the rabbet of the reducer, just pack underneath to raise the edge so the reducer is just resting on the tile floor. You dont want the rabbet to take the weight load, the base of the reducer should do that.
Conversely, if the meeting floor is too low, plane the bottom edge of the reducer to lower the rabbet so that it rests on the tile and create a neat edge with no gap.
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