What are the chances of a girl with pseudo-pseudo hypoparathyroidism transmitting it to her offspring?

Pseudo means "Fake"

This may not be true but I'm guessing (seeing as pseudo means false) that it is a false or fake name

Pseudo-forgetting is when there is a block between your short term memory and your long term memory. Something we know something (such as a telephone number), but when we attempt to recall it and we...

artificial, false, fake. It's often used as a prefix

both are same as both will repeat after some period distinguishing it from random noise/signal which will never repeat