It is also a straight forward violation of the first admentment.
"Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof; or abridging the freedom of speech, or of the press; or the right of the people peaceably to assemble, and to petition the Government for a redress of grievances."
talks about Congress, not an executive branch. the latter can gag a person, or a company.
See, for example, https://en.wikipedia.org/wiki/New_York_Times_Co._v._United_S...