Nothing fancy

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Alpha (West) to play

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Alpha wins in 3-4 turns.

Show solution

Here is the expected line of play:

Alpha
Beta
1.
sacrifice y2 Alpha
move b3 Betelgeuse Beta
move y3 Betelgeuse Beta
1...
attack y3 Beta
2.
sacrifice r2 Alpha
attack y3 Beta
attack g3 Beta
2...
build r1 Altair
3.
attack y1 Beta

Beta could make the game take longer by stalling instead of fighting back:

1...
sacrifice g2 Altair
build g1 Beta
build y1 Beta
2.
sacrifice r2 Alpha
attack g3 Beta
attack g1 Beta
2...
attack g1 Beta
3.
trade g3 r3 Beta
3...
trade y1 r1 Beta
4.
sacrifice r3 Beta
attack y1 Beta
attack y1 Beta
pass

I composed this "puzzle" after being reminded that not every entry on my list needs to stump experts. I'll be adding more exercises for learning basic tactics.