
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/>$(1)2\sin60°-3\tan30°-{(-\frac{1}{3})}^{0}+(-1)^{2023}$;<br/>$(2)|1-\sqrt{2}|- \sqrt{12}+{(\frac{1}{3})}^{-1}-2\cos45°$.

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