[latch]

But it isn't about ambiguity. If someone said:

Our window for reaching its peak was gone. I sat in our tent, unable to do anything, while my dream of climbing Mount Everest faded

It's wrong to quote them as saying

"Our window for reaching Mount Everest's peak was gone"

Even though the "its" is clearly referring to Mount Everest. There are a couple options, the simplest being:

"Our window for reaching [Mount Everest's] peak was gone"

What worries me is that people don't know this. That you can just substitute/fill in a quote because it's obvious that's what the person meant. Rather, it should be thought of as a recording device that can only play back exactly what the person said.