
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 $x\_0$ and $x\_0 + \frac{π}{2}$ are two adjacent zero points of the function $f(x) = \cos^2\left(ωx - \frac{π}{6}\right) - \sin^2 ωx \quad (ω > 0)$,

(1) Find the value of $f(\frac{π}{12})$;
(2) If for any $x ∈ \left[-\frac{7π}{12}, 0\right]$, $|f(x) - m| ≤ 1$, find the range of values for the real number $m$.

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