
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 $m \in \mathbb{R}$, let $p$ denote the statement "For every $x \in [-1, 1], x^2 - 2x - 4m^2 + 8m - 2 \geq 0$ always holds true"; and let $q$ denote the statement "There exists an $x \in [1, 2]$ such that $\log_{\frac{1}{2}}(x^{2} - mx + 1) < -1$ holds true. If the logical statement "$p \lor q$" is true and "$p \land q$" is false, find the range of values for $m$.

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