cx.background_executor().spawn(...) -> cx.background_spawn(...) (#25103)

Done automatically with

> ast-grep -p '$A.background_executor().spawn($B)' -r
'$A.background_spawn($B)' --update-all --globs "\!crates/gpui"

Followed by:

* `cargo fmt`
* Unexpected need to remove some trailing whitespace.
* Manually adding imports of `gpui::{AppContext as _}` which provides
`background_spawn`
* Added `AppContext as _` to existing use of `AppContext`

Release Notes:

- N/A

crates/remote_server/src/headless_project.rs

@@ -240,8 +240,7 @@ impl HeadlessProject {
                 operation,
                 is_local: true,
             } => cx
-                .background_executor()
-                .spawn(self.session.request(proto::UpdateBuffer {
+                .background_spawn(self.session.request(proto::UpdateBuffer {
                     project_id: SSH_PROJECT_ID,
                     buffer_id: buffer.read(cx).remote_id().to_proto(),
                     operations: vec![serialize_operation(operation)],
@@ -302,15 +301,14 @@ impl HeadlessProject {
                     message: prompt.message.clone(),
                 });
                 let prompt = prompt.clone();
-                cx.background_executor()
-                    .spawn(async move {
-                        let response = request.await?;
-                        if let Some(action_response) = response.action_response {
-                            prompt.respond(action_response as usize).await;
-                        }
-                        anyhow::Ok(())
-                    })
-                    .detach();
+                cx.background_spawn(async move {
+                    let response = request.await?;
+                    if let Some(action_response) = response.action_response {
+                        prompt.respond(action_response as usize).await;
+                    }
+                    anyhow::Ok(())
+                })
+                .detach();
             }
             _ => {}
         }

crates/remote_server/src/unix.rs

@@ -311,7 +311,7 @@ fn start_server(
             let mut output_buffer = Vec::new();
 
             let (mut stdin_msg_tx, mut stdin_msg_rx) = mpsc::unbounded::<Envelope>();
-            cx.background_executor().spawn(async move {
+            cx.background_spawn(async move {
                 while let Ok(msg) = read_message(&mut stdin_stream, &mut input_buffer).await {
                     if let Err(_) = stdin_msg_tx.send(msg).await {
                         break;
@@ -487,8 +487,7 @@ pub fn execute_run(
 
         handle_panic_requests(&project, &session);
 
-        cx.background_executor()
-            .spawn(async move { cleanup_old_binaries() })
+        cx.background_spawn(async move { cleanup_old_binaries() })
             .detach();
 
         mem::forget(project);