
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 $f(x)=2\sin\left(2x-\frac{π}{3}\right)\ (x\in R)$. Let $p$: $x\in\left[\frac{π}{4},\frac{π}{2}\right]$, and $q$: $m-3 < f(x) < m+3$. If $p$ is a sufficient condition for $q$, then the range of values for the real number $m$ is _______.

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