Local Snapshots of Time-Machine

I have a 4TB SSD in my iMac Pro

I wanted to transport 380GB to my SSD, but it does not work, as the system claims there is not enough space.

I thought, that this can not be, and checking all my folders, I was using about 1TB of space. So there should be some close to 3TB of space left.

Checking then "about my Mac"

System uses 2.8TB of space!!!!

Diging in google, Time-Machine-Snapshots. Claim they delet them when space needed... but that doe snot work when you want to ad data to your drive. And I do not need that feature.

So, how can I disable local snapshots?

This already cost me so much time, it is frustrating.

Thank you