chore: Add pre-commit hook to fix include style (#6995)

Co-authored-by: Ayaz Salikhov <mathbunnyru@users.noreply.github.com>

bin/pre-commit/fix_include_style.py

@@ -0,0 +1,37 @@
+#!/usr/bin/env python3
+
+"""
+Converts quoted includes (#include "...") to angle-bracket includes
+(#include <...>), which is the required style in this project.
+
+Usage: ./bin/pre-commit/fix_include_style.py <file1> <file2> ...
+"""
+
+import re
+import sys
+from pathlib import Path
+
+PATTERN = re.compile(r'^(\s*#include\s*)"([^"]+)"', re.MULTILINE)
+
+
+def fix_includes(path: Path) -> bool:
+    original = path.read_text(encoding="utf-8")
+    fixed = PATTERN.sub(r"\1<\2>", original)
+    if fixed != original:
+        path.write_text(fixed, encoding="utf-8")
+        return False
+    return True
+
+
+def main() -> int:
+    files = [Path(f) for f in sys.argv[1:]]
+    success = True
+
+    for path in files:
+        success &= fix_includes(path)
+
+    return 0 if success else 1
+
+
+if __name__ == "__main__":
+    sys.exit(main())