Thanks that helps,
The trunk union appears fused on one side so thats a good thing. However predictable failure vs barn will impact and your in Ohio so storms likely over times journey. You need to determine your own acceptable risk profile checking your home insurance see what is says is guide.
Options
Remove tree = cost & loss of trees summer shade & amenity
Leave tree as is, roll the dice.
Get in a Arborist to guide you and weight work canopy test structure cable bolt union to lower failure likelihood = cost but some reward