
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
Given the function $f(x)=4\sin{x}\cos{\left(x+ \frac{\pi}{3}\right)}+4\sqrt{3}\sin^2{x}-\sqrt{3}$,
(Ⅰ) Find the value of $f\left(\frac{\pi}{3}\right)$;
(Ⅱ) Determine the equation of the axis of symmetry for the graph of $f(x)$;
(Ⅲ) Find the maximum and minimum values of $f(x)$ on the interval $\left[-\frac{\pi}{4}, \frac{\pi}{3}\right]$.

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