I am more stubborn, I would just repot in a bit smaller container, and add much more pumice or perlite to your media. Your current media looks too heavy and dense to me. That container looks pretty, but being glazed it is holding water a bit longer than the plant wants. Is that saucer dish attached to the container? I try to avoid those ones with attached dish, it is more difficult to allow water to drain out faster.
Position it in part sun, no direct sun yet, and keep it dry for several days or more if you do repot. That plant will just use whatever moisture stored in its leaves as it redirects its energy to new growth ..which may either be roots, or leaves first.
There may still be a chance, treat it like a learning curve and see if it will bouce back. We are all heading into warm to hot temps which this plant prefers, so be very patient. To me I think there is still a chance. Good luck!
This is an old 2018 photo of one of my Aloes, the Aloe is the one on the right, see how gritty I make the media. So even if it rains, it dries out the root zone area fast, and always container with drain holes.