What is the constitutional problem with Elon Musk's role in the Department of Government Operations (DOGE)?

The Constitution requires that anyone in charge of a federal agency must be Senate-confirmed, which Elon Musk is not. The Trump administration is now claiming Musk is merely a White House senior adviser without an official role, contradicting Musk's own public statements about 'deleting folks' in these agencies. Whether Musk is officially heading DOGE or working as a White House adviser while performing agency leadership functions, both scenarios present constitutional issues. The constitutional conflict arises because Congress established laws governing how these agencies should operate, and Musk appears to be circumventing these established processes.