
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 $P$: The function $f(x) = \log_{2m}(x+1)$ is an increasing function, and proposition $Q$: $\forall x \in \mathbb{R}, x^2 + mx + 1 \geqslant 0$. If the disjunction "$P \vee Q$" is true and the conjunction "$P \wedge Q$" is false, find the range of values for the real number $m$.

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