fix(window): retain the name of closed auxiliary windows

Validation on the original split base: cargo fmt --all; cargo clippy --workspace --all-targets --all-features -- -D warnings.
Nextest and WPT reruns omitted at the user's request.

moli-protocol-server/src/protocol_server/tests/cdp_dynamic_page/auxiliary_page_identity.rs

@@ -668,7 +668,24 @@ async fn auxiliary_initial_history_stays_provisional_until_document_navigation()
 }
 
 #[tokio::test(flavor = "multi_thread", worker_threads = 2)]
-async fn closed_auxiliary_name_reads_empty_and_ignores_writes_after_conversion() {
+async fn auxiliary_initial_document_adoption_keeps_closed_window_name() {
+    let (addr, server) = spawn_test_protocol_server().await;
+    let (mut browser, _) =
+        connect_async(format!("ws://{addr}/devtools/browser/{DEFAULT_BROWSER_ID}"))
+            .await
+            .unwrap();
+    let opener_id = create_dynamic_target(&mut browser, 1).await;
+    let mut opener = connect_dynamic_page(addr, &opener_id).await;
+    let (_, _child) = open_auxiliary(addr, &mut opener, "").await;
+    assert_eq!(
+        evaluate_window_name_probe(&mut opener, 4, "p.close();p.name").await,
+        json!("actual-page"),
+    );
+    abort_test_cdp_server(server).await;
+}
+
+#[tokio::test(flavor = "multi_thread", worker_threads = 2)]
+async fn closed_auxiliary_name_is_retained_and_ignores_writes_after_conversion() {
     let (fixture_addr, _fixture) = spawn_dedicated_fixture_server(
         Router::new().fallback(get(|| async { axum::response::Html("<p>parent</p>") })),
         "auxiliary-closed-name",
@@ -720,7 +737,7 @@ async fn closed_auxiliary_name_reads_empty_and_ignores_writes_after_conversion()
         })()"#
             )
             .await,
-            json!([true, "", "", 1])
+            json!([true, "kept", "kept", 1])
         );
     }
     abort_test_cdp_server(server).await;

moli-renderer-v8/src/context_bootstrap/runtime_state.rs

@@ -881,11 +881,7 @@ fn window_name_runtime_getter<'s>(
         && let Some(host_ptr) = context_host_ptr_from_global_bridge(scope)
     {
         let host = unsafe { &*host_ptr };
-        let name = if host.browsing_context_is_closed() {
-            String::new()
-        } else {
-            host.browsing_context_name().get()
-        };
+        let name = host.browsing_context_name().get();
         rv.set(v8::String::new(scope, &name).unwrap().into());
         return;
     }