Size 6 e3 loses (Y)

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e3 and symmetrical moves (c5, e5) are losing moves even if the swap rule is disabled. Blue answers d5.

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Blue threatens to win via b6 reduction (or e6). The threat's carrier is shown.

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Blue also threatens to win via c5 reduction (or e5).

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So Red must play in one of the hexes that belong to the carriers of all four threats.

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Solution to intrusion at b5, b6 or c5

If Red plays at b5, b6, or c5 (or all three), Blue plays d4.

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On the left, 2 is connected to the edge. On the right, Blue now has the following 3 threats:

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Since the threats don't overlap, Blue wins. In other words, Blue had a corner template.

Solution to intrusion at c6

If Red intrudes at c6, Blue plays c5.

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The rest of the solution is very similar.