mister
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So are you implying that we have maximum potential energy on earth compared to center of the gravity and thus the most negative mechanical energy and what the rocket does is to reduce this mechanical energy when it puts the satellite in the orbit?
Of course launcher is doing something a little different with your comment. In the energy analysis only considered the beginning and end of the process. Actually launcher increases kinetic energy of the satellite and has no relation to the potential energy. Potential energy varies depending on the distance from the Earth. While launcher increases kinetic energy the potential energy decreases and in general, the mechanical energy is reduced. Duty of launcher is speed up satellite into orbital velocity.
In analyzing these issues always consider the energy difference.