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How Baba works (for those not familiar with the game)
I would advise to just watch a random bit of the games gameplay.
Here's the text version, though: Baba is basically just a normal non-supernatural being. Its powers aren't really its own powers or equipment. Instead Baba just happens to life in a world where there are Text blocks around. By pushing this Text blocks into short sentences the corresponding changes happen.
Baba uses this fact in clever ways to solve riddles.
Standard Equipment
I don't think "Text and rules regarding their direct environment" should be standard equipment. It's not like Baba is carrying around Text and which Text is specifically available varies greatly depending on the environment.
It's roughly like listing "sticks and stones" as equipment for a human since it can usually find them somewhere close by.
That begs the question what they should be listed as. Given that Optional Equipment includes things that the character "made usage of before for an extended period of time, but does not always have available on their person" I think that fits the Text best. So IMO all Text should be optional equipment, with some just being more common than others.
Concept Manipulation
Seeing as everything else Baba does falls under Law Manipulation, I think it is much more plausible for what is currently listed as Concept Manipulation to also be an application of that. Unless concepts are actually mentioned, but I don't think they are.
Additionally it should be noted that Baba can't just walk up to a Noun and smash it, but can only destroy them in a roundabout fashion.
Range
The profile seems to assume that changing Text generally affects the entire universe. For some Text that might be true, but most of it is usually contained to the level one is in, meaning that the rules are only changed in a limited area, no? So that should be noted.
Abstract Existence
When it says "Can become abstractions like laws or concepts" it which way is that meant? TEXT IS YOU? Because I would argue that becoming Text isn't Abstract Existence Type 1, but what was formerly Abstract Existence Type 3. In other words you just become a physical representation of the laws / a law manipulation device, not the laws themself.
Maximum Potential Key Clarification or Revision
What exactly are the assumptions for Maximum Potential key?
The way I read it it's essentially base Baba, but with all Text (Optional Equipement) available in the area close by. Given the way the page is written that makes the most sense to me.
A different common interpretation I heard is that it is Baba with infinite prep and Text already manipulated to an optimal extent.
It should be clarified what it is and, in my opinion, it should be the former.
The second option would amount to a non-existent composite key, which we don't allow. It would also be a very strange key, that gives the character prep-time (outside of gathering weapons) when the SBA technically doesn't do that.
Not to mention that such keys generally aren't something we do. It would be like making a key of Sayama Mikoto where he destroyed all the concepts necessary to use supernatural powers in advance. In other words it imposes rules on the fighting scenario more than reflects a characters usual power. For something like "Baba uses all the text before the battle to do stuff" the possibility of giving prep time is in matches.
So the concrete change I propose to that key is just reformulating note 2 a bit to clarify that Baba needs to arrange the Text mid battle instead of having moved it in an optimal fashion in advance.
I would advise to just watch a random bit of the games gameplay.
Here's the text version, though: Baba is basically just a normal non-supernatural being. Its powers aren't really its own powers or equipment. Instead Baba just happens to life in a world where there are Text blocks around. By pushing this Text blocks into short sentences the corresponding changes happen.
Baba uses this fact in clever ways to solve riddles.
Standard Equipment
I don't think "Text and rules regarding their direct environment" should be standard equipment. It's not like Baba is carrying around Text and which Text is specifically available varies greatly depending on the environment.
It's roughly like listing "sticks and stones" as equipment for a human since it can usually find them somewhere close by.
That begs the question what they should be listed as. Given that Optional Equipment includes things that the character "made usage of before for an extended period of time, but does not always have available on their person" I think that fits the Text best. So IMO all Text should be optional equipment, with some just being more common than others.
Concept Manipulation
Seeing as everything else Baba does falls under Law Manipulation, I think it is much more plausible for what is currently listed as Concept Manipulation to also be an application of that. Unless concepts are actually mentioned, but I don't think they are.
Additionally it should be noted that Baba can't just walk up to a Noun and smash it, but can only destroy them in a roundabout fashion.
Range
The profile seems to assume that changing Text generally affects the entire universe. For some Text that might be true, but most of it is usually contained to the level one is in, meaning that the rules are only changed in a limited area, no? So that should be noted.
Abstract Existence
When it says "Can become abstractions like laws or concepts" it which way is that meant? TEXT IS YOU? Because I would argue that becoming Text isn't Abstract Existence Type 1, but what was formerly Abstract Existence Type 3. In other words you just become a physical representation of the laws / a law manipulation device, not the laws themself.
Maximum Potential Key Clarification or Revision
What exactly are the assumptions for Maximum Potential key?
The way I read it it's essentially base Baba, but with all Text (Optional Equipement) available in the area close by. Given the way the page is written that makes the most sense to me.
A different common interpretation I heard is that it is Baba with infinite prep and Text already manipulated to an optimal extent.
It should be clarified what it is and, in my opinion, it should be the former.
The second option would amount to a non-existent composite key, which we don't allow. It would also be a very strange key, that gives the character prep-time (outside of gathering weapons) when the SBA technically doesn't do that.
Not to mention that such keys generally aren't something we do. It would be like making a key of Sayama Mikoto where he destroyed all the concepts necessary to use supernatural powers in advance. In other words it imposes rules on the fighting scenario more than reflects a characters usual power. For something like "Baba uses all the text before the battle to do stuff" the possibility of giving prep time is in matches.
So the concrete change I propose to that key is just reformulating note 2 a bit to clarify that Baba needs to arrange the Text mid battle instead of having moved it in an optimal fashion in advance.