
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Consider a 4 x 4 grid of squares. Players Aziraphale and Crowley take turns coloring the squares, with Aziraphale starting and coloring a square red, and Crowley following by coloring a square blue. The game continues until all the squares are colored. Aziraphale's score is determined by the area of the largest entirely red closed region. If both players play optimally, what will Aziraphale's score be?

Present the answer in LaTex format: \boxed{Your answer}
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