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how to best protect privacy for bank account?

It's not possible. Some say that small amounts hold on an account won't be reported but no one can confirm this nor what the "min / max amount" is!!
 
The only way you can protect your privacy is using a Seychelles company and open a corporate account for instant in Cyprus as the many other people here on the forum have done. You can find some interesting reading that all the speak about TIEA's and similar tax information agreements don't seem to apply for corporate accounts.

Means a Seychelles company formation still makes the whole setup pretty secure in matters of privacy and tax!