I think I’ve cracked it! All that was required was a bit of audio editing.

“Sir, Phasma reports that the girl must have escaped the cell block.”
“She’s just beginning to touch her powers. The longer it takes to find her, the more dangerous she becomes. Put every hangar on lockdown!”
(Rey runs through the halls)
“My Lord, all hangars are on lockdown, but we found a vessel outside the base.”
“She’s going to try to steal that ship to escape!”
“Sir, it’s the Falcon.”
“Han Solo.”

The first line had to be shortened due to Kylo saying more lines after it, but alternately I could cut ‘She’s just beginning to touch her powers’ and keep the flow of the original scene largely intact. For example:

“Sir, Phasma’s troops are searching the cell block, but she could have moved to other levels.”
“The longer it takes to find her, the more dangerous she becomes. Put every hangar on lockdown.”

I’ve updated the prior link with this version. Also available here