py(deps) libtmux 0.50.1 -> 0.51.0 (#999)

## py(deps) libtmux 0.50.1 -> 0.51.0

See also:

- https://libtmux.git-pull.com/history.html#libtmux-0-51-0-2025-12-06
- https://github.com/tmux-python/libtmux/releases/tag/v0.51.0
- https://github.com/tmux-python/libtmux/blob/v0.51.0/CHANGES#libtmux-0510-2025-12-06

Author: tony

CHANGES

@@ -33,6 +33,12 @@ $ pipx install --suffix=@next 'tmuxp' --pip-args '\--pre' --force
 
 _Upcoming changes will be written here._
 
+#### libtmux 0.51.0 (#999)
+
+libtmux minimum version bumped from 0.50.1 -> 0.51.0.
+
+Hard API deprecations in libtmux 0.51.0 will cause deprecated APIs that faced only warnings to now error.
+
 ## tmuxp 1.59.1 (2025-12-06)
 
 ### Breaking changes

pyproject.toml

@@ -39,7 +39,7 @@ include = [
   { path = "conftest.py", format = "sdist" },
 ]
 dependencies = [
-  "libtmux~=0.50.1",
+  "libtmux~=0.51.0",
   "colorama>=0.3.9",
   "PyYAML>=6.0"
 ]