a turbomachine comprising a nozzle extending along an axial direction , said nozzle being configured to convey a hot gas stream , and a mounting pylon for mounting the turbomachine , said pylon extending radially from a base arranged in the vicinity of the nozzle . the turbomachine includes a pylon cooler device having at least one auxiliary gas duct having a gas inlet configured to take cold gas from the outside of the nozzle , and a gas outlet opening out in the vicinity of the base of the pylon .