I can't bind anything to \`C-;\` because it acts like a strange compose key even though it's not a compose key.
If I hit my compose key I have a normal behaviour wherever I am. If I hit \`C-;\` anywhere, nothing happens, but in emacs:
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https://preview.redd.it/7oacsm3a1rj91.png?width=128&format=png&auto=webp&s=e5ac5e767c5a2e26fb6d74c88204c8bedfb32986
And I can write anything I want, it will only close if I hit \`C-;\` again.
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https://preview.redd.it/yf5hzlbm1rj91.png?width=185&format=png&auto=webp&s=f7a0b4ad92da29ed041724641c6446ff6599946b
I've never had this behaviour before. I'm on emacs 29.0.50.