Add streaming status UX and model load state indicator

Streaming status transparency:
- generation_task.py emits 'status' SSE events at each pipeline stage:
  "Analyzing your request..." before intent classification, tool label
  before each tool execution, "Generating/Composing response..." before
  each LLM streaming round
- chat.ts adds streamingStatus ref; cleared on first chunk or done/error;
  includes fast 5s poll loop after warmModel() until model shows as loaded
- ChatView.vue shows pulsing dot + italic status label above content area;
  falls back to blinking cursor once content arrives
- HomeView.vue shows status label in dashboard panel instead of '...'

Model load state indicator:
- /api/chat/status now queries /api/tags and /api/ps in parallel to
  distinguish installed-but-cold vs loaded-in-VRAM model states
- New model status values: 'not_found' | 'cold' | 'loaded' (was 'ready')
- chatReady true for both 'cold' and 'loaded' (cold models still work)
- AppHeader shows 5 states: gray pulse (checking), red (Ollama down),
  orange (not installed), yellow pulse (cold), green (loaded)
- Inline short label ("Cold", "Ready", "Offline", etc.) visible without
  hovering; detailed tooltip on hover

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

frontend/src/stores/chat.ts

@@ -26,14 +26,16 @@ export const useChatStore = defineStore("chat", () => {
   const streaming = ref(false);
   const streamingContent = ref("");
   const streamingToolCalls = ref<ToolCallRecord[]>([]);
+  const streamingStatus = ref("");
   const lastContextMeta = ref<ContextMeta | null>(null);
   const ollamaStatus = ref<"checking" | "available" | "unavailable">("checking");
-  const modelStatus = ref<"checking" | "ready" | "not_found">("checking");
+  const modelStatus = ref<"checking" | "loaded" | "cold" | "not_found">("checking");
   const defaultModel = ref("");
   let statusPollTimer: ReturnType<typeof setInterval> | null = null;
 
+  // Chat is usable when Ollama is up and model is at least installed (cold starts still work)
   const chatReady = computed(
-    () => ollamaStatus.value === "available" && modelStatus.value === "ready"
+    () => ollamaStatus.value === "available" && (modelStatus.value === "loaded" || modelStatus.value === "cold")
   );
 
   async function fetchConversations(limit = 50, offset = 0) {
@@ -178,8 +180,12 @@ export const useChatStore = defineStore("chat", () => {
           case "context":
             lastContextMeta.value = event.data.context as ContextMeta;
             break;
+          case "status":
+            streamingStatus.value = event.data.status as string;
+            break;
           case "chunk":
             streamingContent.value += event.data.chunk as string;
+            streamingStatus.value = "";
             break;
           case "tool_call":
             streamingToolCalls.value = [
@@ -206,6 +212,7 @@ export const useChatStore = defineStore("chat", () => {
               }
               streamingContent.value = "";
               streamingToolCalls.value = [];
+              streamingStatus.value = "";
               streaming.value = false;
 
               // Update conversation in list
@@ -221,6 +228,7 @@ export const useChatStore = defineStore("chat", () => {
             streaming.value = false;
             streamingContent.value = "";
             streamingToolCalls.value = [];
+            streamingStatus.value = "";
             useToastStore().show(
               "Chat error: " + (event.data.error as string),
               "error",
@@ -258,6 +266,7 @@ export const useChatStore = defineStore("chat", () => {
     streaming.value = false;
     streamingContent.value = "";
     streamingToolCalls.value = [];
+    streamingStatus.value = "";
   }
 
   async function cancelGeneration() {
@@ -314,11 +323,25 @@ export const useChatStore = defineStore("chat", () => {
   async function warmModel(model: string) {
     try {
       await apiPost("/api/chat/warm", { model });
+      // Poll faster after a warm request so the indicator updates promptly
+      _pollUntilLoaded();
     } catch {
       // Warming is best-effort
     }
   }
 
+  function _pollUntilLoaded() {
+    let attempts = 0;
+    const MAX = 12; // up to ~60s of fast polling
+    const timer = setInterval(async () => {
+      await fetchStatus();
+      attempts++;
+      if (modelStatus.value === "loaded" || attempts >= MAX) {
+        clearInterval(timer);
+      }
+    }, 5_000);
+  }
+
   return {
     conversations,
     currentConversation,
@@ -327,6 +350,7 @@ export const useChatStore = defineStore("chat", () => {
     streaming,
     streamingContent,
     streamingToolCalls,
+    streamingStatus,
     lastContextMeta,
     ollamaStatus,
     modelStatus,