Euphorbia Horrida fell and was damaged. It released sap but we aren't sure if it got on our carpet. Is it still dangerous?

In an unfortunate sequence of events, the euphorbia fell and we have done our best to clean it up and dispose of it - it was pretty and cool but we have two little kids and don't want to rehab it when the sap is so toxic.

Does anyone know how to spot it (if it soaked into the carpet)? Does dried sap lose its toxicity? Just trying to balance risk and manage cleanup as it fell onto the staircase and we can't just stay on one floor forever 🫤