```markdown
## Description
When `headroom wrap claude` registers RTK hooks, the generated `~/.claude/hooks/rtk-rewrite.sh` script uses a bare `rtk` command that depends on PATH lookup. Since `~/.headroom/bin` is not automatically added to PATH, the hook fails silently and token compression never occurs.
After `register_claude_hooks()` succeeds, a new helper `_patch_rtk_hook_absolute_path()` reads the generated hook script and replaces bare `rtk` references with the absolute binary path (e.g. `/home/user/.headroom/bin/rtk`). The patch is idempotent and only writes back if content actually changed. Paths containing spaces or shell-special characters are safely quoted via `shlex.quote()` before being inserted into the script.
## Type of Change
- [x] Bug fix (non-breaking change that fixes an issue)
## Changes Made
- Added `_patch_rtk_hook_absolute_path(rtk_path, hook_script_path)` in `headroom/cli/wrap.py`
- Called it immediately after `register_claude_hooks()` succeeds in `_setup_rtk()`
- Uses `shlex.quote()` to safely handle absolute paths containing spaces or shell-special characters
- Added regression test `tests/test_cli/test_wrap_rtk_hook_patch.py` covering the basic patch, the space-in-path case, idempotency, missing hook file, and non-bare `rtk` tokens
## Testing
- [x] Manual testing performed
### Test Output
```
python3 -m pytest tests/test_cli/test_wrap_rtk_hook_patch.py -v
============ test session starts ============
collected 5 items
tests/test_cli/test_wrap_rtk_hook_patch.py::test_patches_bare_rtk_to_absolute_path
PASSED [ 20%]
tests/test_cli/test_wrap_rtk_hook_patch.py::test_quotes_path_containing_spaces
PASSED [ 40%]
tests/test_cli/test_wrap_rtk_hook_patch.py::test_idempotent_second_run_is_noop
PASSED [ 60%]
tests/test_cli/test_wrap_rtk_hook_patch.py::test_missing_hook_script_is_noop
PASSED [ 80%]
tests/test_cli/test_wrap_rtk_hook_patch.py::test_does_not_touch_words_containing_rtk
PASSED [100%]
============= 5 passed in 0.73s =============
```
## Real Behavior Proof
- Environment: Linux, Python 3.14.4, pytest 9.1.0, headroom repo at commit d5987fb2
- Exact command / steps: `python3 -m pytest tests/test_cli/test_wrap_rtk_hook_patch.py -v`
- Observed result: All 5 tests passed — test_patches_bare_rtk_to_absolute_path, test_quotes_path_containing_spaces, test_idempotent_second_run_is_noop, test_missing_hook_script_is_noop, test_does_not_touch_words_containing_rtk (5 passed in 0.73s)
- Not tested: End-to-end test against a real `rtk init --global --auto-patch` run on macOS/Windows; only the patch function itself is unit-tested
## Review Readiness
- [x] I have performed a self-review
- [x] This PR is ready for human review
Fixes#487
```
---------
Co-authored-by: JerrettDavis <mxjerrett@gmail.com>
