
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
A grocer stacks oranges in a triangular pyramid-like stack with a triangular base layer. The base layer consists of $6$ oranges on each side of the equilateral triangle. Each subsequent layer has one less orange on each side than the layer below and is placed such that each orange above the first level rests in a pocket formed by three oranges below. The stack is completed by a single orange. Find the total number of oranges in the entire stack.

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