I don't get what "either party" means but I definitely don't see how what you're saying would add up to me being able to receive coins at a lightning channel with a node that's not online

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do you understand what multisig is?

because you need to understand multisig to understand payment channels

and you need to understand payment channels to understand what the LN is.

Yes I understand what multisig is

But I'm just one party

My sats being shared with a second party wouldn't be self custody