Throwing that kind of stuff at an LLM just doesn't make sense.
People need to understand that LLMs are not smart, they're just really fancy autocompletion. I hate that we call those "AI", there's no intelligence whatsoever in those still. It's machine learning. All it knows is what humans said in its training dataset which is a lot of news, wikipedia and social media. And most of what's available is world war and cold war data.
It's not producing millitary strategies, it's predicting what our world leaders are likely to say and do and what your newspapers would be saying in the provided scenario, most likely heavily based on world war and cold war rethoric. And that, it's quite unfortunately pretty good at it since we seem hell bent on repeating history lately. But the model, it's got zero clues what a military strategy is. All it knows is that a lot of people think nuking the enemy is an easy way towards peace.
Stop using LLMs wrong. They're amazing but they're not fucking magic