To install Google services on MIUI 12.5.5 (Android 10) you typically need a specific utility called Google Installer APK
If you do not want to download a third-party APK, you can use the official Xiaomi "GetApps" store to install the components, as shown in this YouTube video 0.5.2. Open . Search for "Google Play Store" 0.5.2. Google Installer For Miui 12.5.5 Android 10
If the screen hangs while you try to sign into your account, the framework cannot establish a secure link to Google servers. To install Google services on MIUI 12
Tap the large blue circle button displayed on the main screen to begin the automated setup. Step 3: Sequential Package Processing Google Installer For Miui 12.5.5 Android 10
Sources like XDA Developers or well-known MIUI forums are safest. Avoid random APK download sites.