feat: prompt cache warming for idle tabs

Keep a tab's provider prompt-cache warm while idle by periodically replaying
the exact cached conversation prefix plus a single trivial throwaway turn,
resetting the provider's ~5-min cache TTL so the user's next real message hits
a warm cache.

Backend:
- Agent.warmCache(history): extracts buildLlmContext() shared with run(), then
  re-sends the identical system+tools+history prefix (same Anthropic
  cache_control breakpoints) plus a 'reply with just a .' probe turn via
  toolChoice:none. Returns the request usage; mutates no history, emits/persists
  nothing.
- AgentManager.warmCacheForTab(): resolves the same agent the next real turn
  would use, replays the FULL genuine history, refuses while a turn is running.
- POST /chat/warm: returns ONLY the warming request's usage (never persisted,
  never folded into the real usage aggregate).

Frontend:
- cache-warming.svelte.ts store: per-tab 4-min repeating idle timer with
  countdown, warming-specific last-request cache %, and error capture. Arms on
  turn end, pauses during a turn, disables+resets on a real user message.
- cache-warm-storage.ts: per-tab localStorage persistence of the toggle.
- Lifecycle hooks wired into tabs.svelte.ts (status/statuses/sendMessage/
  hydrate/create/open/close).
- ModelSelector: bottom-of-panel checkbox + debug strip (last-% / countdown /
  error), shown only when enabled. Warming cache data never touches the real
  Cache Rate view.

Tests: core warmCache (5), api warm route (3) + warmCacheForTab (3), frontend
store (12) + storage (10). check / test (779) / frontend build / typecheck all
green.

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