fix(headless): dsh run is a direct core front door

apps/web/tests/declared-reasoning.e2e.ts

@@ -1,6 +1,6 @@
 // Web e2e scenario: a hand-declared model's `reasoningEfforts` reaches the
 // composer's effort pane — the levels a settings profile declares are exactly
-// what the picker offers, and picking one records it with the default route.
+// what the picker offers, and picking one records it with the Agent default.
 // Zero model calls: declaring, describing, and switching are settings/llm
 // traffic only, so there is no fixture and a stray stream would fail loud.
 import { readFile } from 'node:fs/promises'
@@ -77,8 +77,8 @@ describe.skipIf(MODE === 'record')('web e2e: declared reasoning efforts reach th
     const snapshot = await captureStableAria(page, '[role="menu"]', scaffold.workspaceCwd)
     await compareOrRefreshGolden(UI_EXPECTED, snapshot, MODE)
 
-    // Picking a level is the same gesture that saves the default target, so
-    // the effort lands in the gateway's settings section beside the route.
+    // Picking a level is the same gesture that saves the default selection, so
+    // the effort lands in the Agent default Settings section beside provider/model.
     await page.getByRole('menuitemradio', { name: 'High' }).click()
     await expect.poll(
       async () => readFile(join(scaffold.harnessHome, 'settings.yaml'), 'utf8'),

apps/web/tests/declared-reasoning.overlay.yml

@@ -2,7 +2,7 @@
 # deepseek-official default would be a route nothing serves. This scenario
 # starts the default on its own declared reasoning model so the effort pane
 # describes that model from the first open.
-- id: api-gateway
+- id: agent-default-model
   config:
     provider: acme-gateway
     model: acme-think

apps/web/tests/default-model.e2e.ts

@@ -1,5 +1,5 @@
 // Web e2e scenario: switching models in the composer is how this deployment's
-// default is chosen. The gesture writes the `api-gateway` settings section, a
+// default is chosen. The gesture writes the shared `agent-default-model` settings section, a
 // session created afterwards starts from it, and a session that already logged
 // a route keeps deriving from its own log — the tier order the gateway
 // resolves on every read.
@@ -21,7 +21,7 @@ import { settingsNamespace } from '@deepseek-ai/dsh-settings'
 import { launchWebScaffold, watchConsole, type WebScaffold } from './scaffold.ts'
 import { ZH_BROWSER_LOCALE, connectFreshWorkspaceZh, saveFailureShot } from './support.ts'
 
-/** Points the shipped `api-gateway` default at this scenario's own route. */
+/** Points the shipped shared Agent default at this scenario's own route. */
 const OVERLAY = fileURLToPath(new URL('./default-model.overlay.yml', import.meta.url))
 
 /** The route this scenario starts on, patched over the shipped default. */
@@ -110,12 +110,12 @@ describe('web e2e: the composer model switch is the default for later sessions',
     await page.getByRole('menuitem', { name: /模型/ }).click()
     await page.getByRole('menuitemradio', { name: 'Acme Large' }).click()
 
-    // The switch is what sets the default: the gateway's own settings section
+    // The switch is what sets the default: the shared Agent-route settings section
     // now names it, beside the provider profiles the Models page writes.
     await expect.poll(
       async () => readFile(join(scaffold.harnessHome, 'settings.yaml'), 'utf8'),
       { timeout: 10_000 },
-    ).toContain('api-gateway:')
+    ).toContain('agent-default-model:')
     const document = await readFile(join(scaffold.harnessHome, 'settings.yaml'), 'utf8')
     expect(document).toContain(`provider: ${ROUTE}`)
     expect(document).toContain(`model: ${MODEL}`)

apps/web/tests/default-model.overlay.yml

@@ -2,7 +2,7 @@
 # deepseek-official default would be a route nothing serves — which the
 # composer now correctly refuses to type into. This scenario declares its own
 # pi-ai routes and starts the default on one of them.
-- id: api-gateway
+- id: agent-default-model
   config:
     provider: origin-gateway
     model: origin-large