You're really mixed up here. This is the text of the 1st Amendment:
"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."
When a person who works for the government is acting in their official capacity, they are the government. In that case the 1st Amendment prohibits them from abridging a private citizen's freedom of speech.
When that same person is acting as a private citizen, they are protected from their speech being abridged by the government.
People at work in their government jobs, using government equipment and email addresses, with government signatures are 100% the government, not private citizens.
They don't cease to be people nor to have rights. How did you think all those cases go where a government employee sues the government for infringing on your rights. Judge: Sorry you aren't a person again until you clock out neeeext!.
"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."
When a person who works for the government is acting in their official capacity, they are the government. In that case the 1st Amendment prohibits them from abridging a private citizen's freedom of speech.
When that same person is acting as a private citizen, they are protected from their speech being abridged by the government.
People at work in their government jobs, using government equipment and email addresses, with government signatures are 100% the government, not private citizens.