Ridiculous Parlor Room puzzle

[Parmanello]

Blue box - "you will not solve this puzzle"

White box - "four statements on boxes in this room are true" and "a box with one false statement contains the gems"

Black box - "a box with true statements contains the gems" and "this box does not contain the gems".

The blue box clue was throwing me because if it's not true or false until I attempt to open a box and my choice is either correct or not. So if I understand the game correctly the options are

Blue T, W - T T , B - F F - Invalid as 4 statements aren't true
Blue T W - T F, B - F F - Invalid as 4 statements aren't true
Blue T, W - F T, Black - F F - Invalid as white and black implied to contain gems
Blue T, W - F F, Black - F T - implies white, but if I solve it then blue is F so this is invalid
Blue T, W - F F, Black - T F - as above if there's a solution blue can't be true as I'd have solved the puzzle
Blue T, W - F F, Black - T T - as above if there's a solution blue can't be true as I'd have solved the puzzle
Blue F, W - F F, Black - T T - invalid as black contradicts itself
Blue F, W - T F, Black - T T - invalid as only 3 true statements
Blue F, W - F T, Black - T T - White implied
Blue F, W - T T, Black T T - not checking as white is solution
Blue F, W - T T, Black F F - not checking as white is solution
Blue F, W - T T, Black T F- not checking as white is solution
Blue F, W - T T, Black F T- not checking as white is solution

So I chose white and it contained the gems (mercifully). But at this point I am so tired of doing these lengthy logic checks to get 3 gems. The gems are important though so every run needs to have a parlor game win. Any way to alleviate this slog would be appreciated.

[rumpelstiltskin]

i think blue is false, since all puzzles are supposed to be solvable, you'd have to assume you'll solve this one as well.
and yes there's a way to alleviate the slog - https://www.nexusmods.com/blueprince/mods/3?tab=files

[Forblaze]

blue - We know this is false because you're a smart boy and we believe in you. There are a few cheeky statements and this is really the only logic you need to figure them out.

white -
We know the four statements being true statement is false because then both white and blue are entirely true.

"This box contains the gems" could be true or false. We aren't sure.

Black - we already have the false box accounted for and we know white isn't entirely true, so we know this has to be the true box.

A box with a true statement contains the gems - if white contains the gems, this is true.

this box does not contain the gems - therefor it has to be another box.

So going back to the white box, we can deduce that the second statement is true.