Good job getting all those ruuuts…. also place in a collection recovery container , and use pumice .. also don’t wash the soil off the roots , beech do well with native soil due to microorganisms etc. also keep the height of the tree, American beech grow slow like Honey dripping , so keep the height and work on letting it recover then cutting that dead spot on trunk to new leader. Eventually you can but the branches back too to stimulate back budding .. one thing I’m trying w American beech to get back budding is pinching new growth but that’s after a couple years of recovers. Leaves will reduce over time , just let it grow this szn, good luck !