Force is actually not carrying any energy by itself, only when it is moving stuff (in physics you have to multiply the force by the distance it moves something to get energy). When you are standing on earth, the gravitational force is pulling you down, but the reactionary force from the ground (which is actually electrons pushing each other away) pushes you up, so the forces cancel out -> nothing moves -> no energy is used
If there is a force applied but no work done, then the net energy is zero.
That energy is cancelled out by an opposing force. Use the gravity example: gravity pulls you down, the earth pushes you back up. These forces *exactly* cancel each other. So there is no net energy and indeed no net force, thus no work done.
This is true for path integrals too. If the forces are conservative then it doesn’t matter what path you take as long as you end where you started then no work is done.
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