To resolve the issue where your Michigan Lottery game indicates it will only play in horizontal mode, despite your screen being set to rotate, follow these steps:

1. Check Screen Orientation Settings:
- Open the Settings app on your iPhone.
- Scroll down and select Display & Brightness.
- Look for the Lock Orientation option. Ensure that this is set to Auto Rotate. If it shows Portrait or Lock, change it to Auto Rotate to allow the screen to switch between vertical and horizontal orientations as needed - learn more.

2. Force a Restart:
- Restart your device to refresh all settings. To do this, press and hold the Side Button and either of the Volume Buttons until the slider appears. Drag the slider to turn off your iPhone. Once it’s off, press and hold the Side Button again until you see the Apple logo.

3. Check Game Permissions:
- Open the Michigan Lottery app and look in the settings (if available within the app) to ensure it has permission to access your screen's orientation settings.

4. Update Your App:
- Make sure you have the latest version of the Michigan Lottery app. Go to the App Store, tap on your profile picture, and scroll to see if there are any updates available for the Michigan Lottery app.

5. Reset All Settings:
- If the problem persists, you can reset all settings on your iPhone. This won't delete your personal data but will reset system settings, including network settings, keyboard dictionary, home screen layout, and location settings. Go to Settings > General > Transfer or Reset iPhone > Reset > Reset All Settings.

6. Uninstall and Reinstall the App:
- As a final step, uninstall the Michigan Lottery app. To do this, press and hold the app icon until it jiggles, then tap the X to delete it. After that, go to the App Store to download and reinstall it.

Following these instructions should enable you to play your free Michigan Lottery games in horizontal mode seamlessly - learn more.