fix(web): localize stats and close stale context meter

apps/web/tests/math-rendering.e2e.ts

@@ -26,6 +26,7 @@ const DONE = 'MATH_RENDERING_DONE'
 /** Build a settled assistant reply that exercises every supported math delimiter. */
 function mathFixture(): string {
   const session = Session.create(SessionId('math-rendering-source'))
+  const eventTimeOrigin = new Date().setHours(12, 0, 0, 0)
   session.append('turn/start', {
     turn: 1,
   })
@@ -76,7 +77,10 @@ function mathFixture(): string {
       createdAt: 0,
       cwd: '{{cwd}}',
     }),
-    ...session.events.map(event => JSON.stringify(event)),
+    ...session.events.map(event => JSON.stringify({
+      ...event,
+      time: eventTimeOrigin + event.seq * 1_000,
+    })),
     '',
   ].join('\n')
 }

apps/web/tests/snapshots/math-rendering/ui.expected.md

@@ -35,7 +35,7 @@
   - img
 - button "Branch into a new conversation":
   - img
-- text: {{clock}}Ran for {{duration}}
+- text: {{clock}} Ran for {{duration}}
 - textbox "Message the agent"
 - button "Commands":
   - img
@@ -44,4 +44,4 @@
   - text: Select model
   - img
 - button "Send message" [disabled]
-- text: 1 turns · 1 steps Input 0 tok · Output 0 tok
+- text: 1 turns · 1 steps LLM {{duration}} Input 0 tok · Output 0 tok