A system includes a bleed system configured to direct a bleed flow from a compressor section to an exhaust section of a gas turbine engine. The bleed system includes a first bleed conduit section configured to couple to the compressor section, a second bleed conduit section configured to couple to the exhaust section, and a first rotatable joint coupling together adjacent conduits of the first and second bleed conduit sections. The second bleed conduit section has components configured to rotate between a plurality of configurations relative to the first bleed conduit section and the compressor section via the first rotatable joint. The plurality of orientations corresponds to a plurality of exhaust outlet orientations of the exhaust section, and the components of the second bleed conduit section are the same in each orientation.