fix(cli): improve Android BuildTask.kt Windows executable detection for nvm4w Fixes #13892 (#14146)

* fix(cli): improve Android BuildTask.kt Windows executable detection

- Fix Android build error on Windows when using nvm4w
- Add robust fallback logic for Windows executable detection
- Prevent 'node.exe.cmd' and 'Cannot find module' errors
- Graceful fallback to cargo when Node.js detection fails

Fixes #13892

* strip extension from project, try exe/cmd/bat

* revert args

---------

Co-authored-by: Lucas Nogueira <lucas@tauri.app>

.changes/android-init-windows-unix.md

@@ -0,0 +1,6 @@
+---
+'tauri-cli': 'patch:bug'
+'@tauri-apps/cli': patch:bug
+---
+
+Strip Windows-only extensions from the binary path so an Android project initialized on Windows can be used on UNIX systems.

.changes/fix-android-build-nvm4w-windows.md

@@ -0,0 +1,6 @@
+---
+'tauri-cli': 'patch:bug'
+'@tauri-apps/cli': patch:bug
+---
+
+Enhance Android build script usage on Windows by attempting to run cmd, bat and exe formats.

crates/tauri-cli/src/mobile/init.rs

@@ -117,7 +117,16 @@ pub fn exec(
   build_args.push(target.command_name());
   build_args.push(target.ide_build_script_name());
 
-  map.insert("tauri-binary", binary.to_string_lossy());
+  let mut binary = binary.to_string_lossy().to_string();
+  if binary.ends_with(".exe") || binary.ends_with(".cmd") || binary.ends_with(".bat") {
+    // remove Windows-only extension
+    binary.pop();
+    binary.pop();
+    binary.pop();
+    binary.pop();
+  }
+
+  map.insert("tauri-binary", binary);
   map.insert("tauri-binary-args", &build_args);
   map.insert("tauri-binary-args-str", build_args.join(" "));
 

crates/tauri-cli/templates/mobile/android/buildSrc/src/main/kotlin/BuildTask.kt

@@ -21,7 +21,23 @@ open class BuildTask : DefaultTask() {
             runTauriCli(executable)
         } catch (e: Exception) {
             if (Os.isFamily(Os.FAMILY_WINDOWS)) {
-                runTauriCli("$executable.cmd")
+                // Try different Windows-specific extensions
+                val fallbacks = listOf(
+                    "$executable.exe",
+                    "$executable.cmd",
+                    "$executable.bat",
+                )
+                
+                var lastException: Exception = e
+                for (fallback in fallbacks) {
+                    try {
+                        runTauriCli(fallback)
+                        return
+                    } catch (fallbackException: Exception) {
+                        lastException = fallbackException
+                    }
+                }
+                throw lastException
             } else {
                 throw e;
             }