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It will retry as long as the person zapping you will retry. If your node is unreachable we can tell that to the zapper or give you fee credits. This will probably be a setting.
Your Lightning address will pay to your ABW if available.
Do you have to be connected to every personal node directly to test if they are reachable? Or do you have to wait for the timeout of the payment?
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You wait for the payment. But the payment is assumed to succeed. You'll get a notification if it fails and you can retry.
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