When PR cdd482c2e reverted structural snapshot rehydration, it left
toGraph mapping all non-tool parts as NodeType.USER_PROMPT. This caused
findLatestSnapshotBaseline to fail on resumed sessions, starting the Master
State from an empty baseline and leading to catastrophic data loss.
This fix detects the snapshot signature during graph construction to
properly assign NodeType.SNAPSHOT.
This commit implements an opaque state export/import pattern for the
ContextManager to ensure expensive LLM-derived snapshots are properly
rehydrated upon session resume.
The ContextManager now exposes `exportState` and `restoreState` methods,
delegating structural validation to the `SnapshotStateHelper`.
During active chat, the GeminiClient routinely passes the finalized
context state down to the ChatRecordingService, which seamlessly
embeds it into the existing JSONL metadata payload. Upon resume, the
saved snapshot is re-published as a draft to the LiveInbox, allowing
the synchronous pipeline to automatically and deterministically splice
it back into the raw graph without an additional LLM call.
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