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Any premise or coummication channel used by an agent of a foreign power while on US soil qualifies, and regardless of whether such an agent is a US citizen.

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Um, no. Read the statute . The read the rest of the executive order. The paragraph you rely on is specifically directed at subsection (a)(1), which is directed to foreign physical searches. Searches "on U.S. soil" are covered by subsection (b), and are the subject of another paragraph of the executive order.