Cast Acererak either from your hand or from the command zone by paying plus commander tax, if applicable.
Staff of the Death Magus triggers, causing you to gain life.
When Acererak enters, its first ability and Carnival of Souls trigger.
Resolve the Carnival of Souls trigger, causing you to add and lose 1 life.
Resolve the Acererak trigger, returning it from the battlefield to your hand, and venturing into Lost Mine of Phandelver.
Repeat.
By choosing Wizard as the creature type for Urza's Incubator, you reduce Acererak the Archlich's casting cost down to a single black mana, setting up a neat self-sustaining loop. As Acererak enters the battlefield, Carnival of Souls provides the exact {B} needed to recast him while simultaneously triggering Staff of the Death Magus to comfortably offset the life loss. Because Acererak's own enter-the-battlefield ability continuously bounces him back to your hand whenever you haven't completed the Tomb of Annihilation, you can endlessly replay him to churn through the Lost Mine of Phandelver.