
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 propositions $p$ and $q$:
- Proposition $p$: The function $f(x) = \frac{1}{3}mx^3 + x^2 + x$ is strictly increasing on the interval $(1, 2)$.
- Proposition $q$: The slope of the tangent line at any point on the curve of the function $g(x) = 4\ln(x + 1) + \frac{1}{2}x^2 - (m - 1)x$ is always greater than $1$.
If the proposition "$p \vee (\neg q)$" is true, then "$(\neg p) \vee q$" is also true. Find the range of values for the real number $m$.

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