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/gamestream/pairing.rs

@@ -1,7 +1,7 @@
 //! The 4-phase GameStream pairing state machine (over HTTP), keyed by `uniqueid`. Proves
 //! both sides know the PIN (via the SHA-256(salt||pin) AES-ECB key) and own their certs
 //! (RSA signatures), then pins the client cert. The final `pairchallenge` happens over
-//! HTTPS (handled in `nvhttp`). Byte-exact spec: `docs/research/…-research.json`.
+//! HTTPS (handled in `nvhttp`). Byte-exact spec: `design/research/…-research.json`.
 
 use super::cert::ServerIdentity;
 use super::crypto;