

I do not believe for a second that communications within the Whitehouse are inadequate, or if they were, could not be solved in a secure manner. Slapping a Starlink in a few places sounds like an invitation to backdoor all communications. Not only that, it is an invitation to sidestep obligations to preserve government records.
If you need to use AI, be aware that there are MANY free models and training options. No reason to be locked into proprietary service.