
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 $\triangle ABC$, the sides $a$, $b$, and $c$ correspond to angles $A$, $B$, and $C$ respectively, and $a^2 - (b-c)^2 = bc$.
(I) Find the measure of angle $A$.
(II) If $f(x) = \sin(2x + A)$, the graph of $y = f(x)$ is translated $\frac{\pi}{12}$ units to the right and then 2 units up to obtain the graph of $y = g(x)$. Find the analytical expression of function $g(x)$ and its monotonically decreasing interval.

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