Progress hat

The progress hat is a magical, talking hat used to keep track of your current pizazz points obtained from the Mage Training Arena. It replies with a sour attitude toward your character when asked about your points. It is free to replace, just speak to the entrance guardian.

The hat has a maximum point storage limit, as follows: The hat will glow brighter in order to show you how many points you have gained and how many you can still earn. There are three stages - Dull, Energised, and Full. The transition between dull and energised seems to occur at around 9,000 total pizazz points, and the final transition at around 16,000 points.
 * 4000 Graveyard Pizazz Points
 * 4000 Telekinetic Pizazz Points
 * 8000 Alchemist Pizazz Points
 * 16000 Enchantment Pizazz Points

Oddly, in spite of being a magical hat that speaks when operated (when worn) or is talked to, it provides no stat bonuses.

Trivia

 * Although the name while worn or in your inventory is progress hat, in chat its name is Pizazz Hat.
 * Prior to an update on 16 November 2017, destroying the progress hat meant that the player lost all their pizazz points.