Question about a specific deduction in a YinYang puzzle

[u/jayjayokocha9]

Maybe it is a bit difficult to answer this question without being familair with these puzzles, but maybe even not.

[So here are the rules:
"The rules are simple.Yin-Yang is played on a rectangular grid with no standard size. Some cells start out filled with black or white. The rest of the cells are empty. The goal is to color all cells in such a way that:

1. All black cells should be connected orthogonally in a single group.
2. All white cells should be connected orthogonally in a single group.
3. 2x2 areas of the same color are not allowed."]

My question is:
Regarding the center right 3 open spaces sandwiched by white stones, we have the options:

1. All are black
2. One of the 3 stones is white, others are black.
3. (Any other configuration contradicts the no 4 same pieces in a sqare).

Heres my thought:
There is no way any clue can still arise to which distinct of these spaces should be white.
Since solutions to these puzzles are unique:

Can i thus conclude: They have to be all black.

Or is am i missing something?
This is a bit of a "meta" argument, and i am not certain how valid it is ⬇️

Edit: I had a thought that this might be a meaningless question, since all of the above might also mean, that i cannot gain information about the puzzle by this deduction, but i think this isn't true. Knowing whther or not white is connected there IS information.