I would suggest repotting in a more draining media, but I seldom do repot during the middle of winter, it is too much struggle for any plant. I would follow what Stush said and try to get some cuttings. Just keep it warm for now till it acclimates further and recovers. To me, as long as I see green, there is hope for your plant, and I see good viable leaves there, so there is hope.
This plant is rather photoperiodic, reacting to the length of day and night. I keep my plant in a small container, and in a well draining media. I do not water weekly here, I have to consider the ambient temps, if it is too cold, most succulents would rather stay on the dry side. And I do not grow it outdoors here, always indoors but near our west facing window so it gets to experience the length of day variation. It is a tropical cacti, so it does like moisture, but still as a cacti, got to keep their media well draining. I usually add perlite or pumice to my media, so it will stay open and well draining. It has rather fine roots, so it needs to be able to breathe too at soil level, too compacted media often will hurt it, hence unable to drink properly.
My own plant is a late bloomer, just starting to bloom at this time. Good luck, I hope your plant recovers soon.
