
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
(1) Calculate: $8^{\frac{2}{3}} + \left(\frac{16}{81}\right)^{-\frac{3}{4}} - (\sqrt{2}-1)^{0}$;
(2) Calculate: $9^{\log_{9}2} + \frac{1}{3}\log_{6}8 - 2\log_{6^{-1}}\sqrt{3}$.

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