
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
Given Mr. and Mrs. Gamma want to name their baby Gamma so that its monogram (first, middle, and last initials) will be in alphabetical order with no letter repeated, and neither the first nor the middle initial can be 'G', calculate the number of possible monograms.

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