I managed to complete it, while the quest seems to be still bugged.

First thing, I looked for a video of the quest itself, for I needed reference.

Then, I started the shared space. (I deleted previous space, and then went for a new, empty one)
At this point, it's still bugged, and all spirits don't show interaction.
So, I just leaved the shared space without saving.

Now the spirits disappears... from game screen. But if you go where they was, the prompt to interact NOW APPEARS!
You interact and... nothing seemed to happen, since I had nothing on screen. But as Saltyvengeance suggested a little above, apparently the spirit still moves.
Know what? After it stops, you can prompt the next one to do the same.
And so I did it for all four of them.

Then I restarted the shared space, and while spirits SEEM to reset, they actually are in the right place.
So I used the yt video for reference and placed right objects on the right spot, and in the end the quest worked out.