If An Audience with the King is not present:

Reroll the rewards: If you don't see An Audience with the King, you can reroll the rewards. Doing so costs 1000 Tribute, but it will refresh the pool of POE2 Currency possible rewards.
Don’t waste Tribute: Rerolling is useful if you're seeking specific rewards. Just keep in mind that rerolls are expensive, so be strategic with how often you use this option.
Use the Defer Function to Save Favor
If the price for An Audience with the King is too high, or it’s not present in the current reward pool, you can defer the item to guarantee it will appear in the future at a discounted price.

Defer the item: If the item is expensive, use the Defer function. Deferring costs a fraction of the price (a portion of the full cost) and ensures that An Audience with the King will appear in the next Ritual node at a reduced price.

Repetition of deferrals: If An Audience with the King doesn’t appear in the very next Ritual node, you can keep deferring it until it does. As you defer the item multiple times, the price will continue to drop, eventually making it affordable.

Reroll or Defer Again if Necessary
In some cases, you may need to reroll the rewards pool or defer the item repeatedly before it becomes affordable.

Don’t rush: Keep in mind that An Audience with the King is one of the most valuable rewards in the game, so obtaining it will take time and patience. It may take several Ritual nodes for the item to appear at a lower cost, but as long as you continue the process, it will eventually show up at a price you can afford.

Use Tribute wisely: When rerolling, use Tribute sparingly. You don’t want to waste Tribute on a pool of rewards that may not give you An Audience with the King. Focus on rerolling only when it’s most beneficial.

Conclusion
To maximize your chances of obtaining An Audience with the King, always complete all Rituals in a map node first, review the full rewards pool, and then strategically decide whether to spend Favor, reroll, or defer. This method will allow you to carefully manage your Favor and Tribute, and ensure that you don’t waste valuable resources on unnecessary rewards. By being patient and smart with your approach, you'll eventually acquire An Audience with the King and gain access to cheap POE2 Currency the King in the Mists boss fight in Path of Exile 2.