fix: merge login shell PATH for gateway exec

docs/gateway/troubleshooting.md

@@ -79,6 +79,9 @@ This intentionally excludes version managers (nvm/fnm/volta/asdf) and package
 managers (pnpm/npm) because the daemon does not load your shell init. Runtime
 variables like `DISPLAY` should live in `~/.clawdbot/.env` (loaded early by the
 gateway).
+Exec runs on `host=gateway` merge your login-shell `PATH` into the exec environment,
+so missing tools usually mean your shell init isn’t exporting them (or set
+`tools.exec.pathPrepend`). See [/tools/exec](/tools/exec).
 
 WhatsApp + Telegram channels require **Node**; Bun is unsupported. If your
 service was installed with Bun or a version-managed Node path, run `clawdbot doctor`

docs/tools/exec.md

@@ -57,7 +57,8 @@ Example:
 
 ### PATH handling
 
-- `host=gateway`: uses the Gateway process `PATH`. Daemons install a minimal `PATH`:
+- `host=gateway`: merges your login-shell `PATH` into the exec environment (unless the exec call
+  already sets `env.PATH`). The daemon itself still runs with a minimal `PATH`:
   - macOS: `/opt/homebrew/bin`, `/usr/local/bin`, `/usr/bin`, `/bin`
   - Linux: `/usr/local/bin`, `/usr/bin`, `/bin`
 - `host=sandbox`: runs `sh -lc` (login shell) inside the container, so `/etc/profile` may reset `PATH`.