
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) $(\sqrt{2}+\sqrt{3})^2-(\sqrt{5}+2)(\sqrt{5}-2)$; (2) $(2-\sqrt{3})^{2023} \times (2+\sqrt{3})^{2023}-2\left|-\frac{\sqrt{3}}{2}\right|-(-\sqrt{2})^{0}$.

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