You could try via smb over wifi (a.k.a. windows shared folders) and a file manager on the phone that can connect to it
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MTP is just horrible, it fails with the transfer everytime when I move large files and I also tried leaving the screen on. Is there any other way to transfer files or at least to fix this?
Do you have WiFi at home? You could try to use a file manager app such as Es File Explorer to send all your files over wireless.
Not entirely true. You can push/pull files to/from the device with adb, while connected via USB.
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