A payjoin is just a special kind of coinjoin done with the merchant. The merchant obviously knows how to unmix it, so it does not protect you from him specifically.

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I'm sorry but I don't see the "obviously" part. can you help me to understand that?

Sure thing. If you participate in a 2 person coinjoin, you can "obviously" unmix it since you know what inputs and outputs are yours (the remaining ones are form the other participant).

So if you use payjoin with a merchant, you gain privacy from 3rd parties (chain analysis, criminals, IRS, etc) but you gain no privacy from that merchant itself, since he also is participating in the coinjoin.

payjoin with two people is funny.

but I get it. the problem is when there is a change. then you have to mix it. Or you only spend in payjoin mixes. Or am I missing something?

omg. probably the same thing 😂