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.

packages/core/session/tests/session.spec.ts

@@ -882,6 +882,19 @@ describe('SessionStore', () => {
     })
   })
 
+  it('attaches delegationDepth from meta to the header', async () => {
+    const ctx = new Context()
+    await ctx.plugin(SessionStore)
+    const session = ctx.sessions.create(SessionId('delegated-child'), {
+      meta: { parentSession: SessionId('parent'), delegationDepth: 2 },
+    })
+    expect(session.header).toMatchObject({
+      id: 'delegated-child',
+      parentSession: 'parent',
+      delegationDepth: 2,
+    })
+  })
+
   it('rejects non-JSON and invalid scalar session metadata', async () => {
     const ctx = new Context()
     await ctx.plugin(SessionStore)
@@ -893,6 +906,9 @@ describe('SessionStore', () => {
       { meta: { seedLength: '1' }, error: /seedLength must be a non-negative safe integer/ },
       { meta: { seedLength: 0.5 }, error: /seedLength must be a non-negative safe integer/ },
       { meta: { seedLength: -1 }, error: /seedLength must be a non-negative safe integer/ },
+      { meta: { delegationDepth: '1' }, error: /delegationDepth must be a non-negative safe integer/ },
+      { meta: { delegationDepth: 0.5 }, error: /delegationDepth must be a non-negative safe integer/ },
+      { meta: { delegationDepth: -1 }, error: /delegationDepth must be a non-negative safe integer/ },
     ]
 
     for (const [index, { meta, error }] of cases.entries()) {