Use a new approach to fix bone pose override not being reset when IK animation is stopped.

Created by: ericrybick

As discussed with @AndreaCatania in #35460, resetting the bone pose is an in-editor feature and not an inverse kinematic feature. Therefore, the editor plugin should contain all the necessary logic to reset a skeleton when the IK is stopped.

This reverts #35460 and fixes the skeleton reset logic within the ik editor plugin.