60-second answer
Use cumulative contribution, not revenue LTV.
Group customers by first-order period, calculate the cumulative net revenue earned by each checkpoint, subtract product, fulfillment, payment, refund, return, and incremental service costs, then compare the resulting contribution with new-customer CAC.
Cumulative contribution by day N = cumulative net revenue - cumulative variable costs
Payback = first mature checkpoint where cumulative contribution is at least CAC
Do not call a 365-day observation “lifetime value.” State the exact window and retain a profit buffer before turning contribution into allowable CAC.