Present REST polling as a normal live state

Some browsers (notably iOS Safari on an auth-gated page) abort the wss://
upgrade even though the server accepts it. Rather than showing a perpetual
"reconnecting", stop retrying after three failures, poll every 3s, and label
the badge "live (polling)" in green. The socket error is kept as a tooltip.

frontend/src/App.vue

@@ -38,12 +38,15 @@ const busy = ref(false)
 const connected = ref(false)
 const socketError = ref('')
 const socketFailures = ref(0)
-// After a few failed socket attempts (some mobile browsers/DPIs refuse wss://),
-// stop advertising "reconnecting" and rely on the 5s REST poll instead.
+// Some mobile browsers (notably iOS Safari with an auth-gated page) abort the
+// wss:// upgrade even when the server accepts it. After a few failures we stop
+// retrying, rely on the REST poll, and present it as a normal live state rather
+// than a degraded "reconnecting".
 const usePolling = computed(() => socketFailures.value >= 3)
 
 let socket
 let pollTimer
+let statusTimer
 
 async function refreshAll() {
   const [p, o, e, q] = await Promise.all([
@@ -148,12 +151,15 @@ onMounted(async () => {
       else socketError.value = `socket closed (code ${code})`
     },
   })
-  pollTimer = setInterval(refreshAll, 5000)
+  // Poll fast enough that the UI feels live even when it is the only channel.
+  pollTimer = setInterval(refreshAll, 3000)
+  statusTimer = setInterval(() => api.getStatus().then((s) => (status.value = s)), 3000)
 })
 
 onUnmounted(() => {
   socket?.close()
   clearInterval(pollTimer)
+  clearInterval(statusTimer)
 })
 </script>
 
@@ -168,15 +174,14 @@ onUnmounted(() => {
         >
           {{ status.mode }}
         </span>
-        <span class="flex items-center gap-1.5 text-xs text-slate-400">
+        <span class="flex items-center gap-1.5 text-xs text-slate-400" :title="socketError || ''">
           <span
             class="h-2 w-2 rounded-full"
-            :class="connected ? 'bg-emerald-400' : usePolling ? 'bg-sky-400' : 'bg-slate-500'"
+            :class="connected || usePolling ? 'bg-emerald-400' : 'bg-slate-500'"
           ></span>
           <template v-if="connected">live</template>
-          <template v-else-if="usePolling">polling (5s)</template>
-          <template v-else>reconnecting</template>
-          <span v-if="!connected && socketError" class="text-amber-300">· {{ socketError }}</span>
+          <template v-else-if="usePolling">live (polling)</template>
+          <template v-else>connecting…</template>
         </span>
       </div>
       <div class="text-xs text-slate-400">