
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:<br/>$(1)2{7}^{\frac{2}{3}}+2•(e-1)^{0}+\frac{1}{\sqrt{5}+2}-1{6}^{\frac{1}{4}}+\sqrt[4]{(3-π)^{4}}$.<br/>$(2)(\log _{2}3+\log _{5}3)\cdot (\log _{3}5+\log _{9}5)\cdot \lg 2$.

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