That is correct. Beethro can not go through the gate at (24,6) before the double steps on the plate at (25,9). What does this imply?
×In the final timeline, the projection that steps on the plate at (25,9) must be prevented from rushing immediately to the plate at (25,23). When recording this time clone, he has to go straight to the plate at (25,23) to beat the briar timer, but in the final timeline it is okay if he's delayed. So how to delay him?
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×The yellow door at (25,21) must still be up.
But how to accomplish this? You can delay the first time clone by blocking his move for several turns with Beetho.
That way he will reach the plate at (8,6) slightly late causing the yellow door at (25,21) to stay up for long enough to block the second time clone.