Keep pushing onward

You figure there's no avoiding the defenses, so might as well keep fighting on. Now that you know what you're dealing with, the two of you are able to deal with the turrets efficiently. You have your "shield" and Supergirl has, well, her skin. There are only so many explosive devices in your arsenal. Not knowing how many of these things you're going to have to fight through, you take a more conservative approach, blocking bullets, getting up close, and physically disabling the turrets.

"That's nine more for me. Only four for you that round," Supergirl taunts with a smirk. "Try to keep up, slowpoke."

"Ha Ha. Some of us don't have skin that repels bullets, you know."

-"Stage Two: Complete. Please proceed to Stage Three."- The two of you roll your eyes at the computerized announcement. A pathway opens up and you enter another generic hallway. Just as before, a new room opens up and you prepare for battle yet again.

-"Stage Seven: Complete. Please proceed to Stage Eight."-
"Woo! I cracked 100. What's that, 35 for you?"

"Pfff. 37! This is getting ridiculous though. I vote we get off the bullet train and find a shortcut. At this rate all the bad guys have probably cleared out already anyways."

"Aww you're just upset that I'm kicking your ass! But good point. They must have used lead paint in here because I can't see through the walls. So... I guess pick a wall to bash in."