An advanced holding apparatus comprising: at least one screw bit body; an attachment body; the at least one screw bit body comprising a plurality of laterally-bracing sidewalls, a first base, and a second base; each of the plurality of laterally-bracing sidewalls comprising a first lateral edge, a second lateral edge, a bracing surface, and at least one engagement cavity; the bracing surface comprising a first portion and a second portion; the plurality of laterally-bracing sidewalls being radially positioned about a rotation axis of the at least one screw bit body; the first lateral edge and the second lateral edge being positioned opposite to each other across the bracing surface; the at least one engagement cavity extending normal and into the bracing surface; the at least one engagement cavity extending into the at least one screw bit body from the first base towards the second base; the at least one engagement cavity being positioned offset from the first lateral edge by a first distance; the first portion of the bracing surface positioned along the first distance, adjacent to the first lateral edge; the at least one engagement cavity being positioned offset from the second lateral edge by a second distance; the second portion of the bracing surface positioned along the second distance, adjacent to the second lateral edge; an entire cross-section of the at least one engagement cavity being parallel to the first base and the second base; the attachment body being centrally positioned around and along the rotation axis; and the attachment body being connected adjacent to the second base; characterized in that: the first portion is convex or concave along a direction from the first lateral edge to the second lateral edge; the second portion is convex or concave along a direction from the first lateral edge to the second lateral edge; the entire cross-section of the at least one engagement cavity is concave along a direction from the first lateral edge to the second lateral edge; and the at least one concave engagement cavity being a triangular profile. at least one screw bit body; an attachment body; the at least one screw bit body comprising a plurality of laterally-bracing sidewalls, a first base, and a second base; each of the plurality of laterally-bracing sidewalls comprising a first lateral edge, a second lateral edge, a bracing surface, and at least one engagement cavity; the bracing surface comprising a first portion and a second portion; the plurality of laterally-bracing sidewalls being radially positioned about a rotation axis of the at least one screw bit body; the first lateral edge and the second lateral edge being positioned opposite to each other across the bracing surface; the at least one engagement cavity extending normal and into the bracing surface; the at least one engagement cavity extending into the at least one screw bit body from the first base towards the second base; the at least one engagement cavity being positioned offset from the first lateral edge by a first distance; the first portion of the bracing surface positioned along the first distance, adjacent to the first lateral edge; the at least one engagement cavity being positioned offset from the second lateral edge by a second distance; the second portion of the bracing surface positioned along the second distance, adjacent to the second lateral edge; an entire cross-section of the at least one engagement cavity being parallel to the first base and the second base; the attachment body being centrally positioned around and along the rotation axis; and the attachment body being connected adjacent to the second base; characterized in that: the first portion is convex or concave along a direction from the first lateral edge to the second lateral edge; the second portion is convex or concave along a direction from the first lateral edge to the second lateral edge; the entire cross-section of the at least one engagement cavity is concave along a direction from the first lateral edge to the second lateral edge; and the at least one concave engagement cavity being a triangular profile. the first portion is convex or concave along a direction from the first lateral edge to the second lateral edge; the second portion is convex or concave along a direction from the first lateral edge to the second lateral edge; the entire cross-section of the at least one engagement cavity is concave along a direction from the first lateral edge to the second lateral edge; and the at least one concave engagement cavity being a triangular profile.