
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 an odd function $f(x)=\sin({ωx+φ})-\cos({ωx+φ})$ ($ω>0, |φ|<\frac{π}{2}$) has $2$ extreme points and $1$ zero point in the interval $(0,2\pi)$, then the range of $ω$ is ______.

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