What will happen if both H1B and L1B Blanket initialted by different employers.

I got an offer from company X, he initiated H1B Visa process, picked in lottery, and current status is RAE (Request for Additional Evidence).

My current company asking me to initiate process for L1B Blanket. If I initiate L1B Blanket Visa, will it affect my H1B Visa process (in terms of rejection) or my both applications will get reject?

Kindly suggest how should I proceed in this situation?