
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 $f(x)=\sin 2x- \sqrt{3}\cos 2x$, if for any real number $x \in \left( 0, \frac{\pi}{4} \right]$, it holds that $|f(x)| < m$, then the range of the real number $m$ is ______.

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