feat(cli): synchronize productName changes with iOS Xcode project (#13658)

* feat(cli): synchronize productName changes with iOS Xcode project

* fmt

.changes/sync-product-name.md

@@ -0,0 +1,6 @@
+---
+"tauri-cli": "minor:feat"
+"@tauri-apps/cli": "minor:feat"
+---
+
+Synchronize Tauri config productName changes with the iOS Xcode project.

crates/tauri-cli/src/mobile/ios/mod.rs

@@ -524,6 +524,13 @@ pub fn synchronize_project_config(
     .unwrap()
     .identifier
     .clone();
+  let product_name = tauri_config
+    .lock()
+    .unwrap()
+    .as_ref()
+    .unwrap()
+    .product_name
+    .clone();
 
   let manual_signing = project_config.code_sign_identity.is_some()
     || project_config.provisioning_profile_uuid.is_some();
@@ -550,6 +557,14 @@ pub fn synchronize_project_config(
         &identifier,
       );
 
+      if let Some(product_name) = &product_name {
+        pbxproj.set_build_settings(
+          &build_configuration_ref.id,
+          "PRODUCT_NAME",
+          &format!("\"{product_name}\""),
+        );
+      }
+
       if let Some(identity) = &project_config.code_sign_identity {
         let identity = format!("\"{identity}\"");
         pbxproj.set_build_settings(&build_configuration_ref.id, "CODE_SIGN_IDENTITY", &identity);