feat(web): consolidate paired devices, self-contained sections, docs + lint

Web console
- Pairing/Library/Stats refactored into self-contained subsections that each own
  their own queries + mutations; a shared slot-based layout (view.tsx) is filled by
  the live page (containers) and Storybook (pure cards + fixtures) so the layout can't
  drift.
- All paired devices in one list on Pairing with a protocol column (punktfunk/1 +
  Moonlight), routing each unpair to the right endpoint; the redundant Clients page is
  removed.
- Library: overview grid split from the add/edit form into separate files.
- Login screen links out to the docs.

Docs
- "Console login password" section on every host page (apt/RPM/Bazzite/SteamOS/Windows)
  plus a new "Forgot your Password?" troubleshooting page, linked from the login screen.
- Console served as HTTP/1.1 over TLS (drop the unusable HTTP/3 advertising) across the
  Bun entry, launchers, systemd units, and packaging.

Tooling
- Biome now respects .gitignore (stops linting generated code), config migrated to
  2.5.1; all lint issues fixed cleanly.

Also includes this branch's in-progress host, Apple client, packaging, and CI changes.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>

clients/apple/Sources/PunktfunkClient/SettingsView.swift

@@ -711,8 +711,8 @@ struct SettingsView: View {
         } footer: {
             Text("Adds a “Browse Library…” action to each host that lists its games "
                 + "(Steam + custom) via the host's management API; tap a title to launch it. "
-                + "The host must expose that API on the LAN with a token "
-                + "(serve --mgmt-bind 0.0.0.0 --mgmt-token …).")
+                + "Works once you've paired with the host — the library is authorized by this "
+                + "device's certificate, with no extra host setup.")
                 .font(.geist(12, relativeTo: .caption))
                 .foregroundStyle(.secondary)
         }