
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: $|\sqrt{3}-2|+\left(3-\pi \right)^{0}-\sqrt{12}+6\cos 30^{\circ}$;<br/>$(2)$ Simplify first and then evaluate $\frac{1}{{m}^{2}-3m}\div \frac{2}{{m}^{2}-9}$, where $m=-5$.

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