Cave (no 2x2)

WPC 2023 had some Cave variations, so I made this in preparation. The no 2x2 constraint is surprisingly finnicky in construction-- perhaps if I knew yin-yang theory, I could have spent less time trying to fix an impossible set of clues. Penpa link: https://tinyurl.com/ylozmfj4

Rules: Shade some cells in the grid. The numbers must be unshaded, and tell how many cells it sees horizontally/vertically (including itself!). All unshaded cells must be connected. All shaded cells must be connected to the outside of the grid. No 2x2 may be entirely unshaded or entirely shaded.