IMPORTANT TSA UPDATE
You won't find this on their website.
They have a new "inside" policy that states: TSA officers have the discretion to prohibit ANY item through the screening checkpoint if they believe it poses a security threat.
In other words, if they think your razor is a threat, they can and will confiscate it, even if you took the blade out.
This is due to a recent incident in December of 2022, here's the link to a video of the incidenthttps://www.youtube.com/watch?v=4JEsBDuMa_U