Open Discussion: The History of the Crucible
I like the name as well, as a crucible is a vessel that puts something into great trial and mixes different elements together to create something new. So it can apply to metallurgy but also to people who face hardships in 'crucible' called life and their hardships and experiences reforge and change them to something new.
I also have ideas for a commonly shared background story for the group.
My suggestion is that 'gestalt' status is something not common, but a rare trait in the world. Normally people progress in a power in a standard manner, but gestalts are exceptional geniuses who can master multiple fields at once without loss of progression in another profession. A fighter can be a master sorcerer, a cleric a master rogue, and so forth.
Now, the reason, why we are together, is simple; everyone else is afraid of our powers already at individual levels. Haakon desired to build a dock and settle down from his wild voyages, however, no country, kingdom or king allow him to build a dock. The reason being all these entities fear that the presence of a powerful gestalt person will eclipse or outshine the original authority either intentionally or unintentionally.
The same dilemma is faced by adventurers who had grown powerful in their course of adventures and even defended their kingdom/world against enormous threats. Once the threat is gone, unless you can bind this raw power tightly under command of the ruling caste, the said ruling caste politely offers a remote land for these 'heroes' so they stay away from main areas or capitals so their presence does not disturb the status quo.
This same fear is multiplied against super geniuses like gestalts. As gestalt people can be alienated from regular adventurers because of the gap in power between two people and adventurers may feel outshined by gestalted hero outright and feel less powerful.
So, because of prejudice the group who each had ambitions that needed a city where to work, have come to the ruins of Ivost (with the intent to rebuild and reinhabit it). Either after long attempts to get things done with other kingdoms or headed to Ivost directly, it does not matter. But what matters is that once everyone trickled in, they became aware of each other and knew each other very least reputation if not for past cooperation and encounters.
So as idea members of the group decided to become a council of Ivost and name themselves The Crucible.