We present self-dual pure spin-3 and 4 actions using the physical relevant Dreibein fields. Since these actions start with a Chern-Simons like kinetic term (and therefore cannot be obtained through dimensional reduction) one might wonder whether they need the presence of auxiliary, ghost-killing fields. It turns out that they must contain, also in this three dimensional case, auxiliary fields. Auxiliary scalars do not break self-duality; their free action does not contain kinetic terms. (author). 12 refs.