a foul tip caught by the catcher is called an out?
A foul tip is different from a foul ball. A foul tip is a ball that makes contact with the bat then goes directly to the catchers glove and is caught. This is simply treated as a strike and is a live ball. If it is not caught or touches another part of the catcher prior to going to the glove it is a foul ball.
If it was the third strike, yes there is an out, otherwise no.
The questioner gave me a terrible rating based on my knowledge. His comments are correct regarding slowpitch. My profile clearly states that I only work with fastpitch. His question did not indicate he was asking a slow pitch question, which I would not have answered. My answer is 100% correct for fastpitch.
My profile: "Expertise Rule and scoring questions for Fastpitch Softball. Primarily High School (NFHS) and ASA. I will answer some coaching questions as well for youth through high school/18U fastpitch. Please do not rate me, good or bad for coaching responses. There is to much subjective matter to the coaching area as opposed to rules/scoring."