feat(chat): add direct Live badge and harden Live monitor backend (#138)

* feat(chat): add direct live badge to session rows

* fix(live): use session DB for conversations monitor

* docs: add chat vs live monitor direction plan

* fix(search): avoid numeric session search 500 without FTS table

packages/client/src/components/hermes/chat/ChatPanel.vue

@@ -605,6 +605,8 @@ async function handleRenameConfirm() {
 
 :deep(.session-item-title) {
   display: block;
+  flex: 1 1 auto;
+  min-width: 0;
   font-size: 13px;
   white-space: nowrap;
   overflow: hidden;
@@ -624,6 +626,25 @@ async function handleRenameConfirm() {
   filter: drop-shadow(0 0 6px rgba(var(--accent-primary-rgb), 0.35));
 }
 
+:deep(.session-item-live-badge) {
+  display: inline-flex;
+  align-items: center;
+  justify-content: center;
+  flex-shrink: 0;
+  padding: 0 8px;
+  min-height: 20px;
+  border-radius: 999px;
+  font-size: 11px;
+  line-height: 20px;
+  font-weight: 700;
+  letter-spacing: 0.05em;
+  text-transform: uppercase;
+  color: $accent-primary;
+  background: rgba(var(--accent-primary-rgb), 0.18);
+  border: 1px solid rgba(var(--accent-primary-rgb), 0.34);
+  box-shadow: 0 0 0 1px rgba(var(--accent-primary-rgb), 0.06), 0 0 10px rgba(var(--accent-primary-rgb), 0.14);
+}
+
 :deep(.session-item-pin) {
   display: inline-flex;
   align-items: center;

packages/client/src/components/hermes/chat/SessionListItem.vue

@@ -45,6 +45,7 @@ const { t } = useI18n()
           </svg>
         </span>
         <span class="session-item-title">{{ session.title }}</span>
+        <span v-if="live" class="session-item-live-badge">{{ t('chat.liveMode') }}</span>
       </span>
       <span class="session-item-meta">
         <span v-if="session.model" class="session-item-model">{{ session.model }}</span>