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1) Newtonian response:
In this paradigm, an object in free fall at the earth's surface is
impelled by the gravitational force of the earth. In searching for an
inertial frame, this force must be taken into account.
2) GR response:
You are entirely correct; there is no "real" gravitational force; only
"real" forces must be removed to experience force free motion. (But then
things are not so simple as in the F=ma paradigm.)