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/src/api/index.ts

@@ -56,6 +56,7 @@ export type { SettingsApi, SettingsNamespaceView, SettingsPathOpView, SettingsSe
 export type { CredentialsApi, CredentialView } from './credentials.ts'
 export type { ConfigurableProviderView, DiscoveredModelView, LlmApi } from './llm.ts'
 export type { ApprovalResponsePayload } from './approvals.ts'
+
 export type { QuestionResponsePayload } from './questions.ts'
 
 // ---- Message layer: narrow forms (domain-signature view) ----
@@ -74,6 +75,11 @@ export type {
 // ---- Errors and ids ----
 export { RpcId, transportError } from './rpc.ts'
 export type { RpcError, RpcErrorCode, RpcErrorDetailsMap, RpcResult } from './rpc.ts'
+export {
+  clientRequestSchema,
+  serverRequestSchema,
+  serverResponseSchema,
+} from './rpc.schema.ts'
 
 // ---- Fixed session-search product bounds ----
 export {