Is it possible to extend 'signature' of the PDA?

Question

Let's say, Program A calls Program B via invoke_signed

Is it a way for a Program B to reuse these seeds in the second layer CPI?

After experimenting a bit, I came to conclusion it cannot be achieved... Unless there is something I am missing here

Answer 1

Program B cannot sign for any account owned by Program A.

However, once Program A signs with seeds for account_a in a CPI to Program B, Program B can freely use account_a as a signer to some Program C.