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

docs/architecture.md

@@ -48,6 +48,7 @@ Harnesses are [Cordis](cordis-primer.md) contexts; packages contribute services,
 | `ctx.credentials` | [`credentials/`](../packages/credentials/README.md) | named secret references resolved per operation, never inlined in configuration |
 | `ctx.directoryPicker` | [`host/directory-picker`](../packages/host/directory-picker/README.md) | GUI-host directory picking (`native`/`browse` interactions) |
 | `ctx.typert` | [`typert/registry`](../packages/typert/registry/README.md) | runtime registry for generated package reflection and live Zod schemas |
+| `ctx.typertGateway` | [`api/gateway`](../packages/api/gateway/README.md) | dispatches TypeRT Remote unary calls through the [API Gateway](api-gateway.md) |
 | `ctx.invariants` | [`support/invariants`](../packages/support/invariants/README.md) | package-name-selected registry of package-owned runtime checks |
 
 ## Event