feat(search): auto-send Ask Sim queries via the chat handoff

Re-lands the auto-send flip: with fix/mship-mount-send-loss beneath this
branch, sends started during Home's mount-settling window survive the
cleanup abort (queued, restored, re-dispatched), so the handoff no longer
loses the query on cross-route navigation.

Author: j15z

apps/sim/app/workspace/[workspaceId]/w/components/sidebar/components/search-modal/search-modal.test.tsx

@@ -4,7 +4,7 @@
 import { act } from 'react'
 import { createRoot, type Root } from 'react-dom/client'
 import { afterEach, beforeEach, describe, expect, it, vi } from 'vitest'
-import { LandingPromptStorage } from '@/lib/core/utils/browser-storage'
+import { MothershipHandoffStorage } from '@/lib/core/utils/browser-storage'
 import {
   MOTHERSHIP_SEND_MESSAGE_EVENT,
   type MothershipSendMessageDetail,
@@ -163,7 +163,10 @@ describe('SearchModal', () => {
 
     expect(onOpenChange).toHaveBeenCalledWith(false)
     expect(mockPush).toHaveBeenCalledWith('/workspace/workspace-1/home')
-    expect(LandingPromptStorage.consume()).toBe('plan our Slack launch week')
+    expect(MothershipHandoffStorage.consume('workspace-1')).toEqual({
+      message: 'plan our Slack launch week',
+      contexts: [],
+    })
   })
 
   it('returns to search results when Tab is pressed again in ask mode', async () => {
@@ -295,7 +298,7 @@ describe('SearchModal', () => {
 
       expect(receivedMessages).toEqual(['summarize this workspace'])
       expect(mockPush).not.toHaveBeenCalled()
-      expect(LandingPromptStorage.consume()).toBeNull()
+      expect(MothershipHandoffStorage.consume('workspace-1')).toBeNull()
     } finally {
       window.removeEventListener(MOTHERSHIP_SEND_MESSAGE_EVENT, handleMessage)
     }
@@ -691,7 +694,7 @@ describe('SearchModal', () => {
 
   it('keeps the palette open when the query handoff cannot be persisted', async () => {
     const onOpenChange = vi.fn()
-    const storeSpy = vi.spyOn(LandingPromptStorage, 'store').mockReturnValue(false)
+    const storeSpy = vi.spyOn(MothershipHandoffStorage, 'store').mockReturnValue(false)
 
     try {
       await act(async () => {

apps/sim/app/workspace/[workspaceId]/w/components/sidebar/components/search-modal/search-modal.tsx

@@ -41,7 +41,7 @@ import { usePostHog } from 'posthog-js/react'
 import { createPortal } from 'react-dom'
 import { supportsAtomicBrowserPanelOcclusion } from '@/lib/browser-agent/transport'
 import { isChatEnabled } from '@/lib/core/config/env-flags'
-import { LandingPromptStorage } from '@/lib/core/utils/browser-storage'
+import { MothershipHandoffStorage } from '@/lib/core/utils/browser-storage'
 import { sendMothershipMessage } from '@/lib/mothership/events'
 import { captureEvent } from '@/lib/posthog/client'
 import { toSearchToken } from '@/lib/search/tokens'
@@ -844,11 +844,12 @@ function SearchModalContent({
     const sentToMountedHome = window.location.pathname === homeHref && sendMothershipMessage(query)
 
     if (!sentToMountedHome) {
-      /* Prefill, not auto-send: sends started during Home's mount-settling
-         window are still silently aborted by use-chat's cleanup effect, so a
-         MothershipHandoffStorage handoff would vanish (verified live). Stored
-         raw — user prose is never mentionified into @ chips. */
-      if (!LandingPromptStorage.store(query)) {
+      /* One-shot auto-send handoff: Home's mount consumer sends it on arrival,
+         so both routes deliver the raw query identically. use-chat's queued
+         send dispatch now survives the mount-settling effect cycle that used
+         to silently abort programmatic sends (the old reason this was a
+         prefill). */
+      if (!MothershipHandoffStorage.store({ message: query }, workspaceId)) {
         logger.warn('Failed to persist command palette query for a new chat', {
           workspaceId,
         })