
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 pyramid with a volume of 60 cubic inches has a triangular base with sides of length $a$, $b$, and $c$. If the base sides $a$ and $b$ are doubled, side $c$ is tripled, and the height is increased by $200\%$, what is the volume of the new pyramid, in cubic inches?

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