Remember that observations on iNat record encounters with organisms, and that wild/not wild on iNat is about whether the organism “chooses” to be where it is when you encounter it.
If the organism is back at your place but it was found in the wild, the observation’s date, time and location should reflect when and where you encountered it in the wild. Then it would be a “wild” organism.
If the observation records your encounter with the organism when it is in a terrarium in your house, and you’re keeping it captive, it would not wild.
If you’re using a small container to temporarily hold the organism while you study and photograph it in the area where you found it, it’s not really considered “captive”.