
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:  
$(1) 2\cos 30^{\circ}-\tan 60^{\circ}+\sin 45^{\circ}\cos 45^{\circ}$;  
$(2) \left(-1\right)^{2023}+2\sin 45^{\circ}-\cos 30^{\circ}+\sin 60^{\circ}+\tan ^{2}60^{\circ}$.

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