
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
Determine the value of the following expressions:
(1) $(2\frac{1}{4})^{\frac{1}{2}} - (\pi - 1)^{0} - (3\frac{3}{8})^{-\frac{2}{3}}$;
(2) $\log_{3}\left(\frac{\sqrt{3}}{3}\right) + \lg 5 + \lg 0.2 + 7^{\log_{7}{2}}$.

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