Merge branch 'stack/agent-profiles-3-wire' into stack/agent-profiles-5-web-ui

The Client API carrier's `agentPresets` member was the one member of its class
without an `IApiClient[...]` annotation. Inferring it inlined `AgentPresetEntry`
into the emitted declaration by the specifier TS picks — the host `index.ts` —
dragging the whole gateway, and with it the host `Context` merges, into every
Client program importing the carrier. Annotated like its siblings.

`ApiRemoteAgentOptions.setup` now takes the inspected session rather than its
header alone: this layer resolves a resumed session's preset from the LOG,
because a session that switched while blank ran its turns under the newer
composition and the header is written once at creation.

Conflicts:
	apps/web/tests/snapshots/*/*.expected.md
	packages/client/ui-conversation/src/client/skeleton/InputBar.tsx
	packages/host/apiproxy/src/api-proxy.ts
	scripts/doc-budgets.manifest.json

packages/host/apiproxy/tests/rpc-schemas.spec.ts

@@ -198,6 +198,7 @@ describe('sessions domain schemas', () => {
     expect(sessionModelsRequestSchema.parse({ sessionId: 's1' }).sessionId).toBe('s1')
     expect(sessionModelsValueSchema.parse({
       current: { provider: 'deepseek-official', model: 'deepseek-v4-flash', reasoningEffort: 'max' },
+      routable: true,
       groups: [{
         id: 'deepseek-official',
         name: 'DeepSeek',
@@ -275,8 +276,10 @@ describe('sessions domain schemas', () => {
 describe('host domain schemas', () => {
   it('validates describe request/value', () => {
     expect(hostDescribeRequestSchema.parse({})).toEqual({})
-    const value = hostDescribeValueSchema.parse({ version: '1', cwd: '/x', provider: 'p', model: 'm', attachedSessions: 2 })
-    expect(value.attachedSessions).toBe(2)
+    const value = hostDescribeValueSchema.parse({
+      version: '1', cwd: '/x', provider: 'p', model: 'm', attachedSessions: 2,
+    })
+    expect(value).toMatchObject({ provider: 'p', model: 'm', attachedSessions: 2 })
     expect(hostDescribeValueSchema.parse({ version: '1', cwd: '/x', attachedSessions: 0 }).provider).toBeUndefined()
   })