
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 proposition $p$: For $\forall x \in \mathbb{R}$, there is $\sqrt{3}\sin x + \cos x > m$, and proposition $q$: $\exists x \in \mathbb{R}$, such that $x^{2} + mx + 1 \leqslant 0$. If "$p \lor q$" is a true proposition, and "$p \land q$" is a false proposition, find the range of the real number $m$.

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