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-server/src/engine/metadata-modules/flat-object-metadata/constants/flat-object-metadata-editable-properties.constant.ts

@@ -7,6 +7,7 @@ export const FLAT_OBJECT_METADATA_EDITABLE_PROPERTIES = {
     'icon',
     'isActive',
     'isLabelSyncedWithName',
+    'isSearchable',
     'labelPlural',
     'labelSingular',
     'namePlural',
@@ -18,6 +19,7 @@ export const FLAT_OBJECT_METADATA_EDITABLE_PROPERTIES = {
     'description',
     'icon',
     'isActive',
+    'isSearchable',
     'labelPlural',
     'labelSingular',
   ],

packages/twenty-server/src/engine/metadata-modules/object-metadata/dtos/update-object.input.ts

@@ -76,6 +76,11 @@ export class UpdateObjectPayload {
   @IsOptional()
   @Field({ nullable: true })
   isLabelSyncedWithName?: boolean;
+
+  @IsBoolean()
+  @IsOptional()
+  @Field({ nullable: true })
+  isSearchable?: boolean;
 }
 
 @InputType()