fix: complete the docs/→design/ and openapi→api/ rename references

The file moves (docs/ → design/, docs/api/openapi.json → api/openapi.json) landed
in d01a8fd, but the matching reference updates did not — so mgmt.rs's drift-test
`include_str!("../../../docs/api/openapi.json")` pointed at a path that no longer
exists and the host failed to build. This restores it and updates every reference:

  - mgmt.rs include_str! → ../../../api/openapi.json (fixes the build)
  - web/orval.config.ts codegen target, web/Dockerfile, .dockerignore
  - deb/rpm/Arch packaging install paths
  - CLAUDE.md, the .gitea CI workflows, code doc-comments, design-doc cross-links

docs-site route URLs (/docs/...) untouched.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

crates/punktfunk-host/src/inject/windows/dualsense_windows.rs

@@ -109,7 +109,7 @@ pub(super) struct SwDeviceProfile<'a> {
 /// `profile.instance`). The returned `HSWDEVICE` owns it — `SwDeviceClose` removes it on drop, so the
 /// pad appears/disappears with the session and nothing persists.
 ///
-/// **Game-detection identity** (see `docs/windows-dualsense-game-detection.md`). `HIDD_ATTRIBUTES`
+/// **Game-detection identity** (see `design/windows-dualsense-game-detection.md`). `HIDD_ATTRIBUTES`
 /// alone (VID/PID via the IOCTL) satisfies SDL/HIDAPI/RawInput, but a native PS5 path (libScePad-
 /// style raw HID) classifies the *connection type* by walking from the HID child to its parent
 /// (`CM_Get_Parent`) and string-matching `"USB"`/`"BTHENUM"` in that parent's