Some answers appear when you remove assumptions instead of adding information.

Sometimes you are not missing a fact. You are carrying a belief about what is fixed, and everything you consider has to route around it. Removing that assumption opens options that were always there and simply invisible. This is why more research so often fails to help while one good question changes everything.

Write down what you are treating as immovable in the current situation. Go through the list and ask which items you have actually tested. Usually at least one turns out to be a habit of thought rather than a constraint.