
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
In Pascal's Triangle, each number is the sum of the two numbers directly above it to the left and right. What is the sum of all numbers in Row 12 of Pascal's Triangle? Also, what is the value of the middle number in this row?

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