The gunslinger's starting firearm and fame

[Dylos]

Additional Resources wrote:

Gunslinger: A gunslinger's starting gun (granted by the gunsmith class feature) is worth 22 gp if sold (the average of 4d10).

Since the above is true, what is the value of the Gunslinger's starting gun when upgrading it for context of fame? Furthermore, since guns are never always available, do I need to meet the fame requirements to upgrade it to +1?

Here's an example, lets say that after the gunslinger's first scenario she upgrades her gun to masterwork using the Gunsmithing feat (and costing 300 gold) is the gun now worth 344 gp for concerns of fame or in the case of a pistol 1,300 gp (1,800 gp in the case of the musket.) this is important, because if the character needs to meet the fame requirements for a +1 upgrade, since guns are not always available it's a difference between the value of the gun being 2,344 gp or 3,300 gp for a +1 pistol (13 or 18 fame respectively.) It will ultimately make less of a difference later on when the 'slinger replaces their starting gun or makes more expensive upgrades, but it's important for when they can have a +1 gun...which is notably around the same time they might actually replace the starting gun.

[Bbauzh ap Aghauzh]

The starting gun can be upgraded to both masterwork (through gunsmithing) and +1 without worrying about Fame. Upgrading it further, you would need the fame for the price of the gun as if it weren't your starting gun.

Any additional firearms, you would need Fame for all purchases and upgrades.

When you upgrade your gun, it is worth 1,300 gp for fame, 172gp if you want to sell it back.

[Nefreet]

Count its value as the masterwork (or magical) version listed in the books. When upgrading items you must consider the total cost of the item you are upgrading as though you were purchasing it brand new each time.