
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
Find the value of the following expressions:
(1) $\sqrt{6 \frac{1}{4}} - \sqrt[3]{3 \frac{3}{8}} + \sqrt[3]{0.125} - (\sqrt{2} - \sqrt{3})^0$；
(2) $(\log_4 3 + \log_8 3) \cdot (\log_3 2 + \log_9 2)$.

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