feat(app): pulse the status dot while the event stream reconnects

[Hona]

While the event stream is connecting or reconnecting, nothing in the UI shows it. With the stall detection in #47571 a phone that wakes from sleep now reconnects and resyncs on its own, but for that second or two the page looks frozen with a green dot.

• The existing server status dot keeps its neutral colour while connection.status() !== "connected" and gains animate-pulse, so it visibly breathes while waiting on the server.
• A server that is known to be down stays critical red; the pulse never masks a real outage.
• Health-only states (ready, attention, issue) are unchanged once the stream is connected.

Both clips: stream healthy → event stream cut for ~5 s (server still answering /api/health) → stream restored.

Before — the dot stays solid green while the stream is dead:

before.mp4

After — the dot turns neutral and pulses until the stream reconnects:

after.mp4

if (input.serverHealth === false) return "bg-icon-critical-base"
if (input.connecting) return "bg-border-weak-base animate-pulse"

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