fix(tray): count native sessions as streaming, and stop hiding "Open web console"

The tray sat at "Idle" through an entire stream, and its Windows context menu
could come up without its main action. Two separate causes.

`GET /api/v1/local/summary` reported `video_streaming`/`audio_streaming` straight
from `AppState.streaming` — flags only the GameStream media pipeline raises. The
native punktfunk/1 plane is the DEFAULT (GameStream is opt-in) and never touches
them, so every native session read as idle: idle icon, and a tooltip that printed
that session's own resolution next to the word "idle" (the `session` field was
already native-aware). This is the blind spot `/status` was fixed for — see the
`session_status` module doc — which the summary kept. Both flags now OR in a live
native session, and the tray additionally treats a reported session as streaming,
so a new tray reads an older host correctly too.

The menu built "Open web console" (and the pairing entry) only while a live
loopback probe of the console had just succeeded. A console still starting, or an
SSR render slower than the 2 s probe timeout, therefore deleted the tray's
most-wanted action outright — indistinguishable from a tray that never had one,
with left-clicking the icon as the only, undiscoverable, way in. The entry is now
always present and the default item; a failed probe changes its label to
"(not responding)" instead of hiding it, and takes two consecutive misses to say
so, since one timeout is not "down".

While here: a "Release kept display…" entry when displays are held (the summary
field's own doc promised a one-click release that did not exist), and entries
deep-link to /pairing and /displays instead of all landing on the dashboard. The
Linux SNI menu mirrors all of it.

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

crates/punktfunk-tray/src/win.rs

@@ -51,6 +51,7 @@ const IDM_RESTART: usize = 0x0104;
 const IDM_LOGS: usize = 0x0105;
 const IDM_EXIT: usize = 0x0106;
 const IDM_PAIRING: usize = 0x0107;
+const IDM_DISPLAYS: usize = 0x0108;
 
 /// Icon resource ordinals (embedded by build.rs).
 fn icon_ordinal(status: &TrayStatus) -> u16 {
@@ -73,8 +74,9 @@ struct App {
     taskbar_created: u32,
     /// `punktfunk-host.exe` next to this exe (the installer lays both in `{app}`).
     host_exe: Option<std::path::PathBuf>,
-    /// The console answered the poller's live loopback probe — the "Open web console" entry is
-    /// shown iff opening it would actually work (repo-run consoles included, stopped ones not).
+    /// The console answered the poller's live loopback probe. Drives the label of the (always
+    /// present) "Open web console" entry, and whether a left-click on the icon opens the console
+    /// or falls back to showing the menu.
     web_console: AtomicBool,
     web_port: u16,
 }
@@ -305,14 +307,24 @@ fn show_menu(hwnd: HWND) {
         };
         add(IDM_HEADER, &status.headline(), true);
         let _ = AppendMenuW(menu, MF_SEPARATOR, 0, PCWSTR::null());
+        // The console entry is ALWAYS here — it is the reason most people open this menu, and
+        // left-clicking the icon is not a discoverable substitute. When the loopback probe says
+        // the console isn't answering the label says so, rather than the entry vanishing.
         if app().web_console.load(Ordering::SeqCst) {
             add(IDM_OPEN_WEB, "Open web console", false);
-            let _ = SetMenuDefaultItem(menu, IDM_OPEN_WEB as u32, 0);
-            if status.pairing_attention() {
-                add(IDM_PAIRING, "Approve pairing request…", false);
-            }
-            let _ = AppendMenuW(menu, MF_SEPARATOR, 0, PCWSTR::null());
+        } else {
+            add(IDM_OPEN_WEB, "Open web console (not responding)", false);
         }
+        let _ = SetMenuDefaultItem(menu, IDM_OPEN_WEB as u32, 0);
+        if status.pairing_attention() {
+            add(IDM_PAIRING, "Approve pairing request…", false);
+        }
+        match status.kept_displays() {
+            0 => {}
+            1 => add(IDM_DISPLAYS, "Release kept display…", false),
+            n => add(IDM_DISPLAYS, &format!("Release {n} kept displays…"), false),
+        }
+        let _ = AppendMenuW(menu, MF_SEPARATOR, 0, PCWSTR::null());
         if can_control {
             if startable {
                 add(IDM_START, "Start host", false);
@@ -385,8 +397,13 @@ fn elevate_service(hwnd: HWND, verb: &str) {
     }
 }
 
-fn open_web_console(hwnd: HWND) {
-    shell_open(hwnd, &format!("https://localhost:{}", app().web_port));
+/// Open the web console at `path` ("" = dashboard). Deep links land the operator on the page the
+/// menu entry promised — the pairing queue, the virtual displays — instead of the dashboard.
+fn open_web_console(hwnd: HWND, path: &str) {
+    shell_open(
+        hwnd,
+        &format!("https://localhost:{}/{path}", app().web_port),
+    );
 }
 
 fn open_logs(hwnd: HWND) {
@@ -416,7 +433,7 @@ extern "system" fn wndproc(hwnd: HWND, msg: u32, wparam: WPARAM, lparam: LPARAM)
                 WM_CONTEXTMENU => show_menu(hwnd),
                 x if x == NIN_SELECT || x == NIN_KEYSELECT => {
                     if app.web_console.load(Ordering::SeqCst) {
-                        open_web_console(hwnd);
+                        open_web_console(hwnd, "");
                     } else {
                         show_menu(hwnd);
                     }
@@ -427,8 +444,9 @@ extern "system" fn wndproc(hwnd: HWND, msg: u32, wparam: WPARAM, lparam: LPARAM)
         }
         WM_COMMAND => {
             match (wparam.0) & 0xffff {
-                IDM_OPEN_WEB => open_web_console(hwnd),
-                IDM_PAIRING => open_web_console(hwnd),
+                IDM_OPEN_WEB => open_web_console(hwnd, ""),
+                IDM_PAIRING => open_web_console(hwnd, "pairing"),
+                IDM_DISPLAYS => open_web_console(hwnd, "displays"),
                 IDM_START => elevate_service(hwnd, "start"),
                 IDM_STOP => elevate_service(hwnd, "stop"),
                 IDM_RESTART => elevate_service(hwnd, "restart"),