TOTALLY ignoring a chat but being able to see the messages WHEN you want

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Hi I want to totally completely ignore a conversation with one person - as in not see it in any way at all - but still view their messages when I decide to, but I can’t.

I can mute it but you still see when they have messaged.

I can archive it but then you see archive right at the top of the messages!

I can pin messages to push it out of site but can only pin 3 messages!!

Is there A.N.Y way?

Thanks, Tom