Add object type filter dropdown to side panel record searches (#18912)

## Summary

- Adds an object type filter dropdown to the side panel, allowing users
to scope record search results to a specific object type (e.g. People,
Companies, Opportunities)
- The filter appears as a funnel icon next to the search input in both
the global search (SearchRecords page) and the "Pick a record" sidebar
flow
- Replaces the AI sparkles button on the search records page with the
filter icon
- Uses colored icons matching the navigation menu style
(NavigationMenuItemStyleIcon + getStandardObjectIconColor)

## Test plan

- [ ] Open the side panel, type something to enter SearchRecords mode,
verify the filter icon appears
- [ ] Click the filter icon, verify the dropdown opens with "Object"
header, search input, "All Objects" and individual object types with
colored icons
- [ ] Select an object type, verify only records of that type appear in
search results
- [ ] Select "All Objects", verify all record types appear again
- [ ] Verify the filter icon turns blue when a filter is active
- [ ] In layout customization mode, add a new sidebar item > Record,
verify the filter dropdown also works there
- [ ] Close and reopen the side panel, verify the filter resets to "All
Objects"
- [ ] Verify the AI sparkles button no longer appears on the command
menu root page
- [ ] Verify the AI edit icon still appears on Ask AI pages


Made with [Cursor](https://cursor.com)

packages/twenty-front/src/modules/side-panel/hooks/useSidePanelMenu.ts

@@ -5,6 +5,7 @@ import { SIDE_PANEL_FOCUS_ID } from '@/side-panel/constants/SidePanelFocusId';
 import { useNavigateSidePanel } from '@/side-panel/hooks/useNavigateSidePanel';
 import { isSidePanelClosingState } from '@/side-panel/states/isSidePanelClosingState';
 import { isSidePanelOpenedState } from '@/side-panel/states/isSidePanelOpenedState';
+import { sidePanelSearchObjectFilterState } from '@/side-panel/states/sidePanelSearchObjectFilterState';
 import { sidePanelSearchState } from '@/side-panel/states/sidePanelSearchState';
 import { useCloseAnyOpenDropdown } from '@/ui/layout/dropdown/hooks/useCloseAnyOpenDropdown';
 import { emitSidePanelOpenEvent } from '@/ui/layout/side-panel/utils/emitSidePanelOpenEvent';
@@ -80,6 +81,7 @@ export const useSidePanelMenu = () => {
     const isSidePanelOpened = store.get(isSidePanelOpenedState.atom);
 
     store.set(sidePanelSearchState.atom, '');
+    store.set(sidePanelSearchObjectFilterState.atom, null);
 
     if (isSidePanelOpened) {
       closeSidePanelMenu();