fix(cli): register web prompt context before boot

apps/web/tests/scaffold.ts

@@ -53,7 +53,7 @@ import * as ToolCordis from '@deepseek-ai/dsh-tool-cordis'
 // Empty type imports carry the httpServer/agents/sessionPersistence Context merges.
 import type {} from '@deepseek-ai/dsh-host-webserver'
 import type {} from '@deepseek-ai/dsh-agent'
-import { installWebPromptContext } from '../../cli/src/web.ts'
+import { prepareWebPromptContext } from '../../cli/src/web.ts'
 import { DIST_INDEX, REPO_ROOT, requireDist } from './support.ts'
 
 /** Snapshot mode for the lane, from $DSH_SNAPSHOT (same vocabulary as the ACP/TUI suites). */
@@ -301,13 +301,13 @@ export async function launchWebScaffold(options: LaunchOptions = {}): Promise<We
     // The shipped CLI deliberately has no dependency on this opt-in package.
     // Keep the Loader row real without broadening the product installation.
     if (options.cordisTools === true) ctx.loader.builtins['tool-cordis'] = ToolCordis
+    prepareWebPromptContext(ctx, REPO_ROOT)
     await ctx.loader.create({
       name: 'cordis:include',
       config: { path: pathToFileURL(resolve(CONFIG_PATH)).href, patches },
     })
     await ctx.loader.await()
     assertEntriesLoaded(ctx, 'web e2e scaffold')
-    installWebPromptContext(ctx, REPO_ROOT)
     if (options.welcomeNoticePending !== true) {
       await ctx.settings.mutate(settingsNamespace(WELCOME_NOTICE_SETTINGS_NAMESPACE), [{
         op: 'set', path: [WELCOME_NOTICE_ACK_FIELD], value: WELCOME_NOTICE_VERSION,