The soul can be free, but you need to find the body.
#The soul can be free, but you need to find the body. AlmostAlmost all Spells that return a creature to life require a body(or part of a body). There is only one that specifically states it works without: true resurrection:
The spell can even provide a new body if the original no longer exists, in which case you must speak the creature's name.
Assuming you know the creature's name, then you can begin.
Out of the ring
#Out of the ring TheThe next step is getting the soul out of the ring.
This one is pretty easy, as the ring states:
You can remain in the ring or depart for the afterlife.
This suggests that the soul is free to leave the ring whenever it wants to. As there is no language that states it is trapped, then we just have the requirements of true resurrection, which does require the soul to be free and willing.
As the soul is free to leave, there really isn't a restriction keeping it in the ring if it's willing to be resurrected.
The soul can either depart the ring prior to casting true resurrection, or it can leave as part of true resurrection. There isn't any rules-issue with when it departs, but more in that it can depart and that it does so willingly.