
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 $p$: The equation $x^{2}-2mx+m=0$ has no real roots; proposition $q$: $\forall x \in \mathbb{R}$, $x^{2}+mx+1 \geqslant 0$.  
$(1)$ Write the negation of proposition $q$, denoted as $\neg q$.  
$(2)$ If the proposition $p \lor q$ is true, and $p \land q$ is false, find the range of the real number $m$.

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