
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 the function $f\left(x\right)=4x^{2}+\left(m-2\right)x+1$, where $m\in R$.  
$(Ⅰ)$ If the solution set of the inequality $f\left(x\right) \lt 0$ is an empty set, find the range of $m$.  
$(Ⅱ)$ If the function $f\left(x\right)$ is an even function, find the monotonic intervals of the function $f\left(x\right)$.

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