
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
In $\triangle ABC$, it is known that $\sqrt{3}\tan A \cdot \tan B - \tan A - \tan B = \sqrt{3}$.

(1) Find the size of angle $C$;

(2) Let the sides opposite angles $A$, $B$, and $C$ be $a$, $b$, and $c$ respectively. If $c=2$ and $\triangle ABC$ is an acute triangle, find the range of values for $a^{2}+b^{2}$.

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