Yes. It does. It applies to EVERYONE. That's the point.
What part of "shall not be infringed" is giving you such difficulty?
Do not tell me I cannot prevent Free Speech on my property. Or any other right, if I do not want it to happen on my property.
No. You may not.
If someone is saying something you don't like on your property, you are empowered to have them leave. You are NOT empowered to silence them. You are NOT empowered to prevent free speech, only their presence on your property.
I do not see why you are having such difficulty comprehending the distinction. It's really very simple.
Once you learn and understand that the Bill of Rights does not apply to private citizens, but to the Government and its relation to private citizens, get back to me.
If your logic was correct, then the owner of this website could not ban a poster...because that would be an infringement on their right of free speech.
Until then, any discussion with you is useless.