feat(web): add subagent conversation transport

packages/host/apiproxy/src/index.ts

@@ -45,7 +45,10 @@ export interface Config {
  * project directory and the fallback parent for name-created Workspaces.
  */
 export class ApiProxyService extends Service implements ApiProxy {
-  static inject = ['agents', 'directoryPicker', 'llm', 'sessions', 'tools', 'userInteraction', 'workspace']
+  static inject = [
+    'agents', 'directoryPicker', 'llm', 'sessions', 'subagents', 'sessionQuery',
+    'tools', 'userInteraction', 'workspace',
+  ]
 
   static Config: z<Config> = z.object({
     provider: z.string().required(),
@@ -54,6 +57,7 @@ export class ApiProxyService extends Service implements ApiProxy {
   })
 
   readonly sessions: ApiProxy['sessions']
+  readonly subagents: ApiProxy['subagents']
   readonly workspace: ApiProxy['workspace']
   readonly host: ApiProxy['host']
   readonly commands: ApiProxy['commands']
@@ -75,6 +79,7 @@ export class ApiProxyService extends Service implements ApiProxy {
       workspaceRoot: resolve(config.workspaceRoot ?? cwd),
     })
     this.sessions = api.sessions
+    this.subagents = api.subagents
     this.workspace = api.workspace
     this.host = api.host
     this.commands = api.commands