fix(web-console): the paired-clients card counts both pairing planes

GameStream and native (punktfunk/1) clients pair into separate stores, and
`/status` only ever reported the GameStream certificate count. Native is the
DEFAULT plane, so a host whose clients had all paired normally — and which
Moonlight had never touched — showed "0 paired" on the dashboard.

Report the native count alongside it, the way the tray's own summary route
already does, and sum the two in the card.

Closes #10

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>

api/openapi.json

@@ -6355,6 +6355,7 @@
           "audio_streaming",
           "pin_pending",
           "paired_clients",
+          "native_paired_clients",
           "active_sessions",
           "games"
         ],
@@ -6376,10 +6377,16 @@
             },
             "description": "Every launched game the host is tracking: one row per live session that launched a title, plus\nany game whose session has ended and which is waiting out its reconnect window before being\nended (`state: \"grace\"`). Empty when nothing was launched — a plain desktop stream has no game."
           },
+          "native_paired_clients": {
+            "type": "integer",
+            "format": "int32",
+            "description": "Number of paired native (punktfunk/1) devices — the default plane, so on a host that has\nnever been touched by Moonlight this is the only non-zero one of the pair.",
+            "minimum": 0
+          },
           "paired_clients": {
             "type": "integer",
             "format": "int32",
-            "description": "Number of pinned (paired) client certificates.",
+            "description": "Number of pinned (paired) GameStream client certificates. Native (punktfunk/1) devices pair\nagainst a separate store and are counted in `native_paired_clients` — sum the two for\n\"how many clients are paired with this host\".",
             "minimum": 0
           },
           "pin_pending": {

crates/punktfunk-host/src/mgmt/host.rs

@@ -100,8 +100,13 @@ pub(crate) struct RuntimeStatus {
     /// True while a pairing handshake is parked waiting for the user's PIN
     /// (submit it via `POST /api/v1/pair/pin`).
     pin_pending: bool,
-    /// Number of pinned (paired) client certificates.
+    /// Number of pinned (paired) GameStream client certificates. Native (punktfunk/1) devices pair
+    /// against a separate store and are counted in `native_paired_clients` — sum the two for
+    /// "how many clients are paired with this host".
     paired_clients: u32,
+    /// Number of paired native (punktfunk/1) devices — the default plane, so on a host that has
+    /// never been touched by Moonlight this is the only non-zero one of the pair.
+    native_paired_clients: u32,
     /// Number of live streaming sessions across BOTH planes (GameStream + native punktfunk/1). The
     /// native server admits concurrent sessions, so this can exceed 1; `session`/`stream` below
     /// describe a single representative session for the detail card.
@@ -420,6 +425,7 @@ pub(crate) async fn get_status(State(st): State<Arc<MgmtState>>) -> Json<Runtime
             .lock()
             .unwrap_or_else(|e| e.into_inner())
             .len() as u32,
+        native_paired_clients: st.native.as_ref().map_or(0, |n| n.status().paired_clients),
         active_sessions: native.len() as u32 + u32::from(gs_video),
         session,
         stream,

web/src/sections/Dashboard/view.tsx

@@ -54,13 +54,17 @@ export const DashboardView: FC<{
 									label={m.status_audio()}
 									on={s.audio_streaming}
 								/>
+								{/* Both planes. GameStream and native (punktfunk/1) devices pair
+								    into SEPARATE stores, and native is the DEFAULT one — counting
+								    only the GameStream certs read as "0 paired" on a host every
+								    one of whose clients was in fact paired. */}
 								<Card>
 									<CardContent className="flex flex-1 items-center justify-between p-4 sm:pt-6">
 										<span className="text-sm text-muted-foreground">
 											{m.status_paired_count()}
 										</span>
 										<span className="text-2xl font-semibold tabular-nums">
-											{s.paired_clients}
+											{s.paired_clients + s.native_paired_clients}
 										</span>
 									</CardContent>
 								</Card>

web/src/stories/lib/fixtures.ts

@@ -46,6 +46,7 @@ export const statusActive: RuntimeStatus = {
 	video_streaming: true,
 	audio_streaming: true,
 	paired_clients: 3,
+	native_paired_clients: 2,
 	pin_pending: false,
 	active_sessions: 1,
 	session: { width: 5120, height: 1440, fps: 240 },
@@ -75,6 +76,7 @@ export const statusIdle: RuntimeStatus = {
 	video_streaming: false,
 	audio_streaming: false,
 	paired_clients: 1,
+	native_paired_clients: 0,
 	pin_pending: true,
 	active_sessions: 0,
 	session: null,