docs: add pre-commit check requirements to CLAUDE.md

Author: claude

CLAUDE.md

@@ -8,3 +8,15 @@ When creating or amending commits:
 - **Never** add `Co-Authored-By:` trailers of any kind.
 - **Never** include any Claude session URLs, session IDs, or links to claude.ai in commit messages or PR descriptions. Commit messages should only describe the code changes.
 - **Always** use `--no-gpg-sign` to avoid GPG signing.
+
+## Pre-Commit Checks
+
+Before creating any commit, always run and ensure the following pass:
+
+```bash
+make clippy   # Rust lints (wraps cargo clippy)
+cargo fmt --check  # Formatting check
+cargo build   # Compilation
+```
+
+Fix any errors or warnings reported before proceeding with the commit.