you need to slowly expose it to the sun before transplanting.
Leaves adapt to the light provided. Your indoor plants have more pigmentation because of less light (even if giving proper DLI). The sun is a different beast. It will have to adapt to the excess intensity because it's not just 'good dli' at canopy it's swimming in photons from all angles top-to-bottom and depending on where you live might be way too much.
if grown outside they adapt to it.
So, your region's sun intensity will impact this, but try a couple hours in the sun and if the plant wilts like crazy, remove it ASAP, lol. Try some shaded areas but keep trying to expose it to more and more direct sun until there are no negative effects from it... at that point it's ready.
you could transplant first, but make sure oyu have an easy way to shade them and slowly expose to more sun each day.
i had a power outage for 4-5 days a few years back. i brought my indoor plants on to back deck and they shriveled up like crazy, lol. I came back an hour or 2 later and they had interveinal damage and wilted all over. they recovered, but just an example of how much stronger the sun is for a plant acclimated to artificial light.