If You Created a Strain of Bacteria That Overexpressed Protease $\lambda$

Multiple Choice

If you created a strain of bacteria that overexpressed protease inhibitors, and then infected this bacteria with phage $\lambda$ , would you expect the phage to follow the lytic or lysogenic cycle?

A) Lytic
B) Lysogenic
C) The protease inhibitors would have no bearing on which life cycle is chosen.