Ok, I'm going to assume that queen 1 is the top right queen, queen 2 is the middle queen and queen 3 is the top left queen.
To get queen 1 out, you need to prevent her from stepping to the left until she can enter the corridor...
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×wait to push her south until just the right moment so that she'll lay a roach in that spot and then she'll have to move S instead of SW.
To kill queen 2 you will need to
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×use a roach to block her from getting away from you
Which brings us to queen 3.
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×she'll have to provide the roach which will block queen 2. You need to find a convenient place for her to lay an egg so that the roach can be drawn into the corridor
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×get the queen to 2 and use the roach she lays at 1.
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