@John Jones yeah that's a fair call-out — "uninterrupted power" is doing a lot of vague lifting on the spec page.
The Power/Program Kit is rated for 24 hours of runtime powering the full module stack, which tells you the total energy capacity is genuinely substantial. For your use case — brief interruptions of a few seconds from cloud cover — you're almost certainly fine, because you're not asking the supercap to carry the full load for an extended period, just bridge a transient dip. That's basically the ideal use case for supercap tech.
That said, I don't have a specific "holdover time at full load with zero input" number in front of me, and honestly that's the number you'd want to engineer around properly. I'd ping Moamen directly through the Dev Hub or support channel and ask for the discharge curve at typical module stack current draw — with a 24-hour rated runtime and supercap architecture, the math should be straightforward once you have the capacitance value and working voltage range. Worth getting it confirmed rather than estimating off the top-level spec.