Does replaying the Lago log re-execute a Haima spend?

[FTHTrading]

Event sourcing next to a payments module is the combination that would keep me up. Rebuilding state by replaying the Lago log has to not re-execute a Haima spend, and the usual fix, marking payment events as non-replayable side effects, quietly means your rebuilt state is no longer derived purely from the log. Does Haima carry an idempotency key that survives a rebuild, or did you split the payment effect out of the event stream entirely?