Example:
You told me that the cup had been broken.
I want put 'the cup' before 'You', But it's in a that-clause.
The cup that you told me (that) had been broken is...
Why the 'that' before 'had' have to disappear? What is the correct process to pull out a noun from a that-clause and place it before the main sentence? (Not something like: 'You told me the cup that....')