
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 that $x_1$ and $x_2$ are the two roots of the function $f(x) = 2\sin 2x + \cos 2x - m$ within the interval $\left[0, \frac{\pi}{2}\right]$, then $\sin(x_1 + x_2) = \_\_\_\_\_\_$.

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