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To transfer data from Xiaomi to PC,you can't miss MobiKin Assistant for Android,this is an easy to use and efficient 3rd party tool that can connect your device to computer and ebales you to transfer data between Xiaomi and PC.https://www.mobikin.com/assistant-for-android/

Nice sharing. To backup SMS from Xiaomi Mi Note 10 to PC, no doubt that the easy way is using Coolmuster Android Assistant [coolmuster.com]. You just need to link your Xiaomi Mi Note 10 to computer via usb cable, enable USB debugging on it. A deep scan later, it will scan out data including SMS on it. Then you can preview and choose them to transfer to PC for backup. 
Top 4 Solutions on Xiaomi Backup to PC and Mi Restore [coolmuster.com]

Once your Xiaomi Mi Note 10 is connected successfully, navigate to the Information > Messages. All SMS will be listed out. Simply select the text message you want to back up to the computer and then click on the Backup button. After a while, the selected messages will be backed up to your computer as .

I had the problem then my PC couldn't restore my data from my phone, and I was very nervous. If you have the same issue, try using optimization software, it will delete all useless files and everything will start working properly. If you don't know which cleaner you need, check this article and choose the pc optimizer [thinkmobiles.com] for yourself. In this article, there are described a lot of cleaners their features and price.