
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 $f(x)=4\sin ^{2}( \frac {π}{4}+x)-2 \sqrt {3}\cos 2x-1$, and the condition $p$: $x < \frac {π}{4}$ or $x > \frac {π}{2}$, $x\in R$, if condition $q$: $-3 < f(x)-m < 3$, and $\lnot p$ is a sufficient condition for $q$, find the range of values for the real number $m$.

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