[Apps] Fix - app-synced object should be searchable (#19206)

## Summary

- **Make app-synced objects searchable**: `isSearchable` was hardcoded
to `false` and the `searchVector` field was missing the `GENERATED
ALWAYS AS (...)` expression, causing all records to have a `NULL` search
vector and be excluded from search results. Fixed by defaulting
`isSearchable` to `true` (configurable via the object manifest),
computing the `asExpression` from the label identifier field, and
allowing the update-field-action-handler to handle the `null` → defined
`asExpression` transition.
- **Make `isSearchable` updatable on an object**: The property had
`toCompare: false` in the entity properties configuration, so updates
via the API were silently ignored and never persisted. Fixed by setting
`toCompare: true`.

packages/twenty-shared/src/application/objectManifestType.ts

@@ -8,6 +8,7 @@ export type ObjectManifest = SyncableEntityOptions & {
   labelPlural: string;
   description?: string;
   icon?: string;
+  isSearchable?: boolean;
   fields: ObjectFieldManifest[];
   labelIdentifierFieldMetadataUniversalIdentifier: string;
 };

packages/twenty-shared/src/utils/index.ts

@@ -204,6 +204,8 @@ export { assertIsDefinedOrThrow } from './validation/assertIsDefinedOrThrow';
 export { isDefined } from './validation/isDefined';
 export { isEmptyObject } from './validation/isEmptyObject';
 export { isLabelIdentifierFieldMetadataTypes } from './validation/isLabelIdentifierFieldMetadataTypes';
+export type { SearchableFieldType } from './validation/isSearchableFieldType';
+export { isSearchableFieldType } from './validation/isSearchableFieldType';
 export { isValidLocale } from './validation/isValidLocale';
 export { isValidTwentySubdomain } from './validation/isValidTwentySubdomain';
 export { isValidUuid } from './validation/isValidUuid';

packages/twenty-shared/src/utils/validation/index.ts

@@ -2,5 +2,6 @@ export * from './isDefined';
 export * from './assertIsDefinedOrThrow';
 export * from './isValidLocale';
 export * from './isValidTwentySubdomain';
+export * from './isSearchableFieldType';
 export * from './isValidUuid';
 export * from './normalizeLocale';

packages/twenty-shared/src/utils/validation/isSearchableFieldType.ts

@@ -0,0 +1,20 @@
+import { FieldMetadataType } from '@/types';
+
+const SEARCHABLE_FIELD_TYPES = [
+  FieldMetadataType.TEXT,
+  FieldMetadataType.FULL_NAME,
+  FieldMetadataType.EMAILS,
+  FieldMetadataType.ADDRESS,
+  FieldMetadataType.LINKS,
+  FieldMetadataType.PHONES,
+  FieldMetadataType.RICH_TEXT,
+  FieldMetadataType.UUID,
+] as const;
+
+export type SearchableFieldType = (typeof SEARCHABLE_FIELD_TYPES)[number];
+
+export const isSearchableFieldType = (
+  type: FieldMetadataType,
+): type is SearchableFieldType => {
+  return SEARCHABLE_FIELD_TYPES.includes(type as SearchableFieldType);
+};