Hi Кирилл,
Thank you for posting, I am here to help you today.
Possible reason you are getting this problem is due to account authentication or security settings.
to fix this try this following steps:
Check Compatibility:
Ensure your Android device is compatible version of Android (usually Android 8.0 or higher).
Clear Play Store Cache:
Go to Settings > Apps > Google Play Store > Storage & Cache.
Tap "Clear Cache" and "Clear Data," then try downloading the app again.
Check Storage Space:
Verify that your device has enough free storage to install the app.
Update Google Play Services:
Make sure Google Play Services is up to date, as outdated services can cause installation issues.
Download from the Web:
Visit the Outlook app page on the Google Play Store directly from your browser and attempt to install it from there.
Reboot Your Device:
Restart your Android device and try the installation again.
Let me know how this goes. Looking forward to helping you out. If you need more help please feel free to let me know.
Best regards,
Jansher