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according to wikipedia...

Agencies and employees prohibited from engaging in partisan political activity
Employees of the following agencies (or agency components), or in the following categories, are subject to more extensive restrictions on their political activities than employees in other departments and agencies:

Administrative law judges (positions described at 5 U.S.C. § 5372)
Central Intelligence Agency
Contract Appeals Boards (positions described at 5 U.S.C. § 5372a)
Criminal Division (Department of Justice)
Defense Intelligence Agency
Federal Bureau of Investigation
Federal Election Commission
Merit Systems Protection Board
National Geospatial-Intelligence Agency
National Security Agency
National Security Council
Office of Criminal Investigation (Internal Revenue Service)
Office of Investigative Programs (Customs Service)
Office of Law Enforcement (Bureau of Alcohol, Tobacco, Firearms and Explosives)
United States Office of Special Counsel
Secret Service
Senior Executive Service

I don’t see Presidential Spokesperson listed.

"The Hatch Act was very clearly not intended for the president’s advisers and assistants, which essentially function as extensions of the president himself, or, at the very least, representatives for the office. That’s why White House staff with the title “assistant to the president,” which Conway has, are granted immunity from compelled testimony before Congress. Jonathan Shaub, a former attorney-adviser in the Office of Legal Counsel, wrote at Lawfare in May that senior advisers do “not have to comply with a congressional subpoena for testimony,” citing an OLC legal opinion in 2014, which has so far held up in the court system. The law was, instead, meant for workers at the IRS, the State Department, the EPA, or the Department of Education. Those are the people you don’t want overtly campaigning in their official capacity on behalf of any candidate.": The Hatch Act wasn't meant for advisers such as Kellyanne Conway, and House Democrats have no case to say it was