
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
A function is given by $f(x) = A\sin(\omega x - \phi) + 2$, where $A > 0$, $\omega > 0$, and $0 < \phi < \frac{\pi}{2}$. The graph of the function has a highest point at $(\frac{5\pi}{12}, 4)$, and the distance between two adjacent symmetry axes is $\frac{\pi}{2}$.
(I) Find the analytical expression of the function $f(x)$;
(II) Let $\alpha \in (0, \pi)$, and if $f(\frac{\alpha}{2}) = 3$, find the value of $\alpha$.

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