Thank you! And oh man, I'm sorry to hear that you're dealing with the same. I might caulk if I can get permission from my landlord, but in the meantime I found this caulking cord: https://www.amazon.com/gp/product/B000BQNCY4/ref=ppx_yo_dt_b_asin_title_o00_s00?ie=UTF8&psc=1. Sharing in case it's helpful for you or anyone else--you can apparently use it like caulk and remove it with no stain/residue left behind.
I don't think I can adopt a cat right now, but I'd love that, even if just for some comic relief when the centipedes come around...