Just to be clear, DOGE is not a government department, and has not been formed by Congress according to ArtII.S2.C2.3.6 "Creation of Federal Offices"
His employees have no government contract
The people he is sending in to just access government servers have no security clearance, are not operating under a contract, and have no oversight
The "Department of government efficiency" is not a government department any more than if you or I created a "office of internal nut cracking" (OINC)