
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: $3\tan{30}°-|\sqrt{3}-1|+{(3.14-\pi)}^{0}-{(\frac{1}{3})}^{-2}$;<br/>$(2)$ Simplify first, then find the value: $({2a-\frac{{12a}}{{a+2}}})÷\frac{{a-4}}{{{a^2}+4a+4}}$, where $a$ satisfies $a^{2}+2a-3=0$.

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