fix: global API script should reuse window.__TAURI__ types (#3602)

currently each script inlines what it needs from @tauri-apps/api, so type checks like `image instanceof Image` all fail

.changes/global-api-script-reuse-core.md

@@ -0,0 +1,58 @@
+---
+"autostart": patch
+"autostart-js": patch
+"barcode-scanner": patch
+"barcode-scanner-js": patch
+"biometric": patch
+"biometric-js": patch
+"cli": patch
+"cli-js": patch
+"clipboard-manager": patch
+"clipboard-manager-js": patch
+"deep-link": patch
+"deep-link-js": patch
+"dialog": patch
+"dialog-js": patch
+"fs": patch
+"fs-js": patch
+"geolocation": patch
+"geolocation-js": patch
+"global-shortcut": patch
+"global-shortcut-js": patch
+"haptics": patch
+"haptics-js": patch
+"http": patch
+"http-js": patch
+"log": patch
+"log-js": patch
+"nfc": patch
+"nfc-js": patch
+"notification": patch
+"notification-js": patch
+"opener": patch
+"opener-js": patch
+"os": patch
+"os-js": patch
+"positioner": patch
+"positioner-js": patch
+"process": patch
+"process-js": patch
+"shell": patch
+"shell-js": patch
+"sql": patch
+"sql-js": patch
+"store": patch
+"store-js": patch
+"stronghold": patch
+"stronghold-js": patch
+"updater": patch
+"updater-js": patch
+"upload": patch
+"upload-js": patch
+"websocket": patch
+"websocket-js": patch
+"window-state": patch
+"window-state-js": patch
+---
+
+The plugin's global API script (used with `app.withGlobalTauri`) now resolves the core API from `window.__TAURI__` instead of bundling its own copy of `@tauri-apps/api`. Values created with the core API are now accepted by plugin APIs in global mode (e.g. an `Image` from `window.__TAURI__.image` passed to `clipboardManager.writeImage`, which previously failed the `instanceof` check against the plugin's private copy), and the script is considerably smaller.