Shaft seal insert (DGSM) for a shaft seal of a turbomachine, which extends in an axial direction along an axis of rotation, comprising - a rotor part which is configured such that it can be mounted on a shaft of a rotor which extends along the axis of rotation, - a stator part which is configured such that it can be inserted into a stator recess, - at least one dry gas seal having a rotating sealing element mounted on the rotor part and one static sealing element mounted on the stator part in order to seal an intermediate space between the rotating sealing element and the static sealing element, wherein the static sealing element and the rotating sealing element are arranged facing each other on a sealing surface which extends radially and in the circumferential direction, wherein the shaft seal insert (DGSM) has a high-pressure side at one axial end and a low-pressure side at the other axial end, wherein a labyrinth seal for sealing the intermediate space is provided on the high-pressure side in a serial arrangement with the dry gas seal, wherein the labyrinth seal is the axially outermost seal of the shaft seal insert (DGSM) on the high-pressure side, wherein the stator part having a first static seal on a first sealing diameter is configured such that the stator part can be inserted in a sealing manner into the stator recess and the rotor part having a second static seal at a second sealing diameter is configured such that it can be mounted in a sealing manner on the shaft, characterized in that the labyrinth seal comprises a static labyrinth seal part (SLSM) and a rotating labyrinth seal part (RLSM), wherein the static labyrinth seal part (SLSM) is either part of, or is securely mounted on, the stator part, and wherein the rotating labyrinth seal part (RLSM) is either part of, or is securely mounted on, the rotor part. - a rotor part which is configured such that it can be mounted on a shaft of a rotor which extends along the axis of rotation, - a stator part which is configured such that it can be inserted into a stator recess, - at least one dry gas seal having a rotating sealing element mounted on the rotor part and one static sealing element mounted on the stator part in order to seal an intermediate space between the rotating sealing element and the static sealing element, wherein the static sealing element and the rotating sealing element are arranged facing each other on a sealing surface which extends radially and in the circumferential direction, wherein the shaft seal insert (DGSM) has a high-pressure side at one axial end and a low-pressure side at the other axial end, wherein a labyrinth seal for sealing the intermediate space is provided on the high-pressure side in a serial arrangement with the dry gas seal, wherein the labyrinth seal is the axially outermost seal of the shaft seal insert (DGSM) on the high-pressure side, wherein the stator part having a first static seal on a first sealing diameter is configured such that the stator part can be inserted in a sealing manner into the stator recess and the rotor part having a second static seal at a second sealing diameter is configured such that it can be mounted in a sealing manner on the shaft, characterized in that the labyrinth seal comprises a static labyrinth seal part (SLSM) and a rotating labyrinth seal part (RLSM), wherein the static labyrinth seal part (SLSM) is either part of, or is securely mounted on, the stator part, and wherein the rotating labyrinth seal part (RLSM) is either part of, or is securely mounted on, the rotor part.