fix: allow gateway service commands for named profiles (#116314)

* fix: gateway service commands refuse a named profile or relocated OPENCLAW_HOME

- Resolve the default install identity against the canonical state directory
  for the active OpenClaw home and profile instead of the unprofiled OS
  account default.
- `--profile <name>` / `--dev` project `.openclaw-<profile>` state and config
  paths, so every named profile was classified as isolated state and refused
  `install`, `start`, `stop`, `restart`, `uninstall`, Doctor service repair,
  and self-update service handling.
- `OPENCLAW_HOME` relocates all OpenClaw path defaults and is documented for
  running as a dedicated service user; a relocated home is now an install
  identity. `HOME` alone still is not.
- An `OPENCLAW_STATE_DIR` or `OPENCLAW_CONFIG_PATH` pointing outside those
  canonical paths is still treated as isolated state.
- Recovery guidance in the refusal message now names the paths that must match.

Verified: focused vitest shards for the changed suites plus the daemon, CLI,
and doctor suites that consume the identity check; tsgo core and core-test
lanes; oxlint; docs format, MDX, link, and map checks.

* fix(gateway): keep relocated homes isolated

* fix(config): validate service profile identity

* fix(daemon): enforce named-profile service ownership

* fix(update): reject drifted service selectors before probes

* test(windows): prove scheduled task lifecycle

* test(windows): harden scheduled task proof cleanup

* test(windows): bind lifecycle proof to checkout

* test(windows): normalize cleanup exit status

* test(windows): verify effective task privilege

* test(windows): protect scheduled task proof roots

* test(windows): prove listener-owned task lifecycle

* test(windows): fix scheduled task proof contracts

* test(windows): remove redundant mock coercions

* test(windows): measure fallback before task probes

* test(windows): prove scheduled task process origin

* fix(gateway): preserve unmanaged restart fallback

* test(gateway): cover denied restart ownership

* test(gateway): keep restart helper types private

* test(gateway): classify lifecycle helpers as test code

---------

Co-authored-by: Vincent Koc <vincentkoc@ieee.org>

docs/help/environment.md

@@ -250,6 +250,8 @@ unavailable instead of triggering a network request.
 
 When set, `OPENCLAW_HOME` replaces the system home directory (`$HOME` / `os.homedir()`) for internal OpenClaw path defaults. This includes the default state directory, config path, agent directories, credentials, installer onboarding workspace, and the default dev checkout used by `openclaw update --channel dev`.
 
+`OPENCLAW_HOME` does not grant ownership of the OS account's native Gateway service. Gateway service-management commands treat a relocated home as isolated state; use the OS account home and a named profile when a separate native service identity is required.
+
 **Precedence:** `OPENCLAW_HOME` > `$HOME` > `USERPROFILE` > Termux `PREFIX` home fallback on Android > `os.homedir()`
 
 **Example** (macOS LaunchDaemon):