Starlink Spy Network: Is Elon Musk Setting Up A Secret Backchannel At GSA?

Is Musk using Starlink to establish a backchannel and secret communication system to circumvent detection? There is no other reason to install at least one Starlink transceiver on the roof of the GSA building and string wires through a window on the top floor. The fact that Must even has a private global satellite system should concern Americans.
As it is, Musk has placed his Technocrats in high-level positions in the Agency: the Technology Transformation Services (TTS) is currently led by Thoma