H1B transfers with two companies at the same time

I work for company A.
I got offer from company B and H1B transfer filed and in process(premium)
I got offer from company C.

Is it ok if I apply for H1B transfer with company C in parallel?

If company B’s H1B is approved, is it ok if I apply for H1B transfer with company C again?

If I joing company B, I believe I should be providing H1B docs from company B to company C is still H1B is not filed in company C. Am I correct?

Thanks in advance