
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
Calculate:<br/>$(1)$ Calculate: $(-\frac{1}{2})^{0}+|1-\tan60°|+\sqrt{12} \times (-2)^{-1}$;<br/>$(2)$ Simplify first, then evaluate: $(\frac{x^{2}-3x+5}{x-1}+3-x)÷\frac{x^{2}+4x+4}{1-x}$, where $x=\sqrt{3}-2$.

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