
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
Let $g$ be a function and $g^{-1}$ its inverse. Given that $g(4) = 7$, $g(6) = 2$, and $g(3) = 6$, evaluate $g^{-1}\left(g^{-1}(6) + g^{-1}(7) - 1\right)$.

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