You need energy to produce a force that compensates gravity. So if you apply that force for a huge amount of time, will gravity ever be depleted?
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As others said, gravity does not “run out”.
Also, you only use energy to move things. A rock laying on the ground is not using any energy. Lifting the rock up will require energy.
Keeping the rock up with a jet engine does use energy, but you use that energy to make air act like a solid pillar supporting the rock.
If you keep sending rocks into space, you will reduce mass of the earth and hence its gravity. But you will achieve same thing by throwing rocks into a portal to another dimension, so it’s not like you are using up gravity.
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