morph backend CORE api (#13517)

# Morph Relation needs some work on the core API

Especially on the Morph types

<img width="682" height="394" alt="Screenshot 2025-07-31 at 12 19 40"
src="https://github.com/user-attachments/assets/8b185ae3-3fe7-4886-97b1-ec143bb1b0f4"
/>


## Focus Areas:
- GraphQL schema generation
- Query parsing and field selection
- Morph relation field support
- Input type definition preparation

packages/twenty-server/src/engine/twenty-orm/factories/entity-schema-relation.factory.ts

@@ -3,6 +3,7 @@ import { Injectable } from '@nestjs/common';
 import { FieldMetadataType } from 'twenty-shared/types';
 import { type EntitySchemaRelationOptions } from 'typeorm';
 
+import { computeMorphRelationFieldName } from 'src/engine/metadata-modules/field-metadata/utils/compute-morph-relation-field-name.util';
 import { type ObjectMetadataItemWithFieldMaps } from 'src/engine/metadata-modules/types/object-metadata-item-with-field-maps';
 import { type ObjectMetadataMaps } from 'src/engine/metadata-modules/types/object-metadata-maps';
 import { determineSchemaRelationDetails } from 'src/engine/twenty-orm/utils/determine-schema-relation-details.util';
@@ -52,7 +53,25 @@ export class EntitySchemaRelationFactory {
         objectMetadataMaps,
       );
 
-      entitySchemaRelationMap[fieldMetadata.name] = {
+      const targetObjectMetadata =
+        objectMetadataMaps.byId[fieldMetadata.relationTargetObjectMetadataId];
+
+      if (!targetObjectMetadata) {
+        throw new Error(
+          `Target object metadata not found for field ${fieldMetadata.name}`,
+        );
+      }
+
+      const fieldName =
+        fieldMetadata.type === FieldMetadataType.MORPH_RELATION
+          ? computeMorphRelationFieldName({
+              fieldName: fieldMetadata.name,
+              relationDirection: fieldMetadata.settings.relationType,
+              targetObjectMetadata,
+            })
+          : fieldMetadata.name;
+
+      entitySchemaRelationMap[fieldName] = {
         type: schemaRelationDetails.relationType,
         target: schemaRelationDetails.target,
         inverseSide: schemaRelationDetails.inverseSide,