fix(session): persist the delegation depth in the session header
A subagent child's recursion depth lived only in runtime AgentOptions, so a persisted child came back from resume counted as top-level and maxDepth stopped binding after every restart. Add SessionHeader.delegationDepth, round-trip it through the JSONL and SQLite backends (SQLite schema v5), restore it on agent-loop resume, and write it when the in-process backends create a child. The seam now owns the shared depth vocabulary (delegationDepthOf): the persisted header is authoritative and monotone — runtime options may deepen it but never lower it.
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@@ -542,7 +542,7 @@ A ready child settled. Scope-filtered dispatch uses the same delegating parent c
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Types: [Scoped](../core-data-structures/scope.md) · [SubagentService](../core-data-structures/subagent.md)
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Source: [`packages/subagent/subagent/src/index.ts:112`](../../packages/subagent/subagent/src/index.ts)
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Source: [`packages/subagent/subagent/src/index.ts:138`](../../packages/subagent/subagent/src/index.ts)
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### `subagent/provider-added` — emit
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@@ -559,7 +559,7 @@ A provider became resolvable in the registry.
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Types: [SubagentProvider](../core-data-structures/subagent.md)
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Source: [`packages/subagent/subagent/src/index.ts:86`](../../packages/subagent/subagent/src/index.ts)
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Source: [`packages/subagent/subagent/src/index.ts:112`](../../packages/subagent/subagent/src/index.ts)
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### `subagent/provider-removed` — emit
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@@ -574,7 +574,7 @@ A provider left the registry. Accepted runs remain holder-owned.
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'subagent/provider-removed'(name: string): void
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```
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Source: [`packages/subagent/subagent/src/index.ts:92`](../../packages/subagent/subagent/src/index.ts)
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Source: [`packages/subagent/subagent/src/index.ts:118`](../../packages/subagent/subagent/src/index.ts)
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### `subagent/start` — emit
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@@ -596,7 +596,7 @@ A provider established a ready child. For in-process providers, `ctx.agents.get(
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Types: [Scoped](../core-data-structures/scope.md) · [SubagentService](../core-data-structures/subagent.md)
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Source: [`packages/subagent/subagent/src/index.ts:103`](../../packages/subagent/subagent/src/index.ts)
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Source: [`packages/subagent/subagent/src/index.ts:129`](../../packages/subagent/subagent/src/index.ts)
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## `system-prompt/*`
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