How many minimum mixes needed?

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I'd say one mix is enough to break the deterministic link.

But we've got an exert here 😉 #[4]

Yeah 1 breaks deterministic links, but you shouldn't approach coinjoin as a 'one and done' rush job.

Mix amounts that you're comfortable having hot for a few months. Leave it running and your privacy grows exponentially.

If you use Sparrow then you can mix directly to cold after N mixes.

Once the first batch is done and locked away in a HWW, just rinse and repeat.

Once I was mixing about.50 utxos (5 remixes) more than 3 months before I got them all into coldstorage🤣🌀🌀🌀