Earlier quoted context omitted.
Sorry to be a grammar right wing populist, but it's "pore over". To pore is to think deeply about to something, to dwell on it. A pour-over is a type of coffee.
Ha! I’ve always thought pour was more of an onomatopoeia of being hunched over and processing a large set of things. I’ve learned something new today. :)
“Pour over” is the sense you describe would be a metaphor.