
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 function $y=x^{2}+mx+1$ intersects the $x$-axis at two points; proposition $q$: For any $x\in R$, $4x^{2}+4\left(m-2\right)x+1 > 0$ always holds. If proposition $p$ is true and proposition $q$ is false, determine the range of real number $m$.

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