From a Game Balance standpoint, how good is the extra pair of arms that a Kasatha has?
Not really that strong without ways to take extra actions.
Multiweapon fighting can be good but stat heavy to get past the -6 penalty on off hands and it is unclear if light weapons reduce the penalty further like with two weapon fighting and if multiweapon fighting counts as two-weapon fighting for qualifying for imp and greater Two-weapon fighting.
But always having a free hand allows you to dual wield mundane guns and crossbows more effectively than someone with two hands.
You would think a monk would be a no brainer but extra arms don't stack with flurry.
So the real power comes in wielding for one hand melee weapons or 4 tech firearms that don't need reloading and having full bab and a pumped str or dex to offset the penalties.
Finally there is the bow nomad archetype which is strong but doesn't feel like it fits into iron gods so much as a wilderness game since there are no tech bows.
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In my opinion it is incredibly strong because not only does it allow you to make multiple attacks with multiple weapons (even with significant minuses you can always roll a 20) but it also allows you to make use of what having multiple arms makes a character good in Starfinder. You can always have a potion or scroll or other item in an off hand and various other methods of making PC action economy even better than it already is.