Rule 727.1.c.3.a
If the condition for the Dependent Keyword causes the Activated Ability to become Inactive after it has been added to the chain as a Pending Item, that chain item will not be affected and will proceed with being played as normal.
Loading Arbiter…
If the condition for the Dependent Keyword causes the Activated Ability to become Inactive after it has been added to the chain as a Pending Item, that chain item will not be affected and will proceed with being played as normal.