
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
The letters of the alphabet are assigned numeric values using an alternating, cyclic sequence of $\{-3, -1, 0, 1, 3\}$. Starting with A and ending with Z following the pattern:
$$
3, 1, 0, -1, -3, -1, 0, 1, 3, 1, 0, -1, -3, -1, 0, 1, \ldots
$$
Two complete cycles are displayed. The letter A has a value of $3$, B is $1$, F is $-1$, and Z cycles back to $1$. Calculate the sum of the numeric values of the letters in the word "algebra".

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