If you really want private transactions with bitcoin there's always sneakernet. They figured out a clever way to do it at opendime.com.
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This is a step backwards. Ooendimes are great for gifts and satscards also for a cheaper alternative but you've got to sweep those funds sometime and when you do you have to isolate those UTXOs as you are faced with the same privacy issues are before.
This is why bitcoin is a near perfect SoV and a far from perfect MoE.