"A" was captured by an army and rescued by "B".
But B's resucue plan failed, so they shifted to the next plan.
But again, it failed.
Then A said to B...
"I have some thoughts for the next go ‘round."
A "go-round" (usually hyphenated) is one of a series of often similar actions aiming to achieve a particular result: "The first go-round didn't work and the second was a disaster".
So here "the next go-round" refers to the third attempt and he's saying: "I have some ideas as to how we should approach the next escape attempt".
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Student or Learner