I think it looks moderately to very droopy and have no idea what the brown growth point means. I agree something is wrong. But it has been happy in the past.
true, it isn't fair to compare this to one living outdoors. All of these look outdoors except the first one by tarev
Dragon Tree (Dracaena reflexa var. angustifolia)
With tarev's plant you can see non droopy leaves, and a stem with many more leaves along the stem.
Has the drooping changed since repotting, or was it doing all that before?
Cutting off one branch won't hurt the plant.
Assuming you used decent potting mix, and got it in between all the roots to fill up the hole from the rock, and it is a pot with drain holes, just water not too often, let the soil dry on top between watering, don't fertilize until early spring, and wait.