fix(xtask): give mobile starters app-owned commands

Make app new --mobile write hemx-app with HEMX_APP_* release settings, app-scoped release output, and docs that name Workout only as the concrete starter flow instead of leaking Workout command identity.

req: ceremony/006

docs/recipes/mobile-release.md

@@ -14,8 +14,8 @@ this path outside the repository:
 cargo run -p hemx-xtask -- app new --mobile PATH
 ```
 
-The created app includes the same `hemx-workout mobile-release` and
-`hemx-workout mobile-verify` commands, plus `MOBILE_STARTER.md` naming the host,
+The created app includes app-owned `hemx-app mobile-release` and
+`hemx-app mobile-verify` commands, plus `MOBILE_STARTER.md` naming the host,
 recovery, and release-kit boundary. req: ceremony/006
 
 ## When to use this path

hemx-xtask/src/main.rs

@@ -91,7 +91,7 @@ fn run_app_new(operands: &[String]) -> ExitCode {
             );
             if mobile {
                 println!(
-                    "next\tHEMX_WORKOUT_ORIGIN=https://app.example.com {}/hemx-workout mobile-release",
+                    "next\tHEMX_APP_ORIGIN=https://app.example.com {}/hemx-app mobile-release",
                     destination.display()
                 );
             }
@@ -217,9 +217,31 @@ fn create_app_scaffold(destination: &Path) -> std::io::Result<()> {
 fn create_mobile_app_scaffold(destination: &Path) -> std::io::Result<()> {
     // req: ceremony/006 req: examples/006
     create_workout_app(destination)?;
+    fs::rename(
+        destination.join("hemx-workout"),
+        destination.join("hemx-app"),
+    )?;
+    for (from, to) in [
+        ("hemx_workout_app", "hemx_app"),
+        ("hemx-workout-app", "hemx-app"),
+        ("workout-app", "hemx-app"),
+        ("./hemx-workout", "./hemx-app"),
+        ("hemx-workout", "hemx-app"),
+        ("HEMX_WORKOUT_", "HEMX_APP_"),
+        ("target/hemx-mobile/workout", "target/hemx-mobile/app"),
+        ("com.hemx.workout", "com.hemx.app"),
+        ("hemx Workout Copilot", "hemx App"),
+        (
+            "# Workout mobile external blockers",
+            "# hemx app mobile external blockers",
+        ),
+        ("workout-mobile", "app-mobile"),
+    ] {
+        replace_in_tree(destination, from, to)?;
+    }
     fs::write(
         destination.join("MOBILE_STARTER.md"),
-        "# Mobile hemx starter\n\nThis starter is the phone-first Workout path exposed through `app new --mobile`: it has a real page/form/keyed partial/notice flow, typed host haptics/share calls returning through Rust handlers, app-owned command/event/projection recovery truth, and the same `hemx-workout mobile-release` / `hemx-workout mobile-verify` release-kit commands.\n\nIt deliberately does not add a hemx mobile framework, client store, signing secret owner, or store submission bot. req: ceremony/006 req: examples/006\n",
+        "# Mobile hemx starter\n\nThis starter is the phone-first path exposed through `app new --mobile`: it has a real page/form/keyed partial/notice flow, typed host haptics/share calls returning through Rust handlers, app-owned command/event/projection recovery truth, and app-owned `hemx-app mobile-release` / `hemx-app mobile-verify` release-kit commands.\n\nThe starter uses the Workout product flow as a concrete first app, but its command surface, crate name, binary name, release output, and environment variables are owned by the created app. It deliberately does not add a hemx mobile framework, client store, signing secret owner, or store submission bot. req: ceremony/006 req: examples/006\n",
     )?;
     Ok(())
 }
@@ -1250,17 +1272,21 @@ mod tests {
         create_mobile_app_scaffold(&destination).expect("create mobile app scaffold");
         let mobile_readme =
             fs::read_to_string(destination.join("MOBILE_STARTER.md")).expect("mobile docs");
-        let command = fs::read_to_string(destination.join("hemx-workout")).expect("command");
+        let command = fs::read_to_string(destination.join("hemx-app")).expect("command");
         let lib_rs = fs::read_to_string(destination.join("src/lib.rs")).expect("lib rs");
         let template =
             fs::read_to_string(destination.join("templates/workout.heml")).expect("template");
 
-        assert!(mobile_readme.contains("phone-first Workout path"));
+        assert!(mobile_readme.contains("phone-first path"));
         assert!(mobile_readme.contains("typed host haptics/share calls"));
         assert!(mobile_readme.contains("command/event/projection recovery truth"));
+        assert!(mobile_readme.contains("app-owned `hemx-app mobile-release`"));
         assert!(mobile_readme.contains("does not add a hemx mobile framework"));
         assert!(command.contains("mobile-release"));
         assert!(command.contains("mobile-verify"));
+        assert!(command.contains("HEMX_APP_ORIGIN"));
+        assert!(command.contains("target/hemx-mobile/app"));
+        assert!(!command.contains("HEMX_WORKOUT_"));
         assert!(command.contains("app-owned command/event/projection records"));
         assert!(command.contains("external_blockers"));
         assert!(lib_rs.contains("HostCall::Share"));
@@ -1269,6 +1295,8 @@ mod tests {
         assert!(template.contains("<form"));
         assert!(template.contains("data-hemx-slot"));
         assert!(destination.join("tests/e2e.rs").exists());
+        assert!(destination.join("hemx-app").exists());
+        assert!(!destination.join("hemx-workout").exists());
         let _ = fs::remove_dir_all(&destination);
     }