Unbalanced horse

Hey everyone, I have a new 4 year old haflinger mare, officially the youngest and greenest horse I’ve ever owned. Not planning on saddle training until next year as we need to focus on groundwork and manners and really solidify those first. She’s going to a trainer in two weeks but I’d like to work with her in the meantime. She is incredibly unbalanced. If I pick up a front foot (if she lets me) she literally falls on top of me. We’ve both gone down three times now, with me having to roll out from under her shoulder before she crashes into me. This doesn’t happen with her back feet though she’s also terrible about giving those up.

Any exercises we can do on the ground to get her balance to improve? We’re working on skills with giving to pressure and respecting personal space but I’m at a loss for how to improve her balance.