
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
In a polar coordinate system with $O$ as the pole, if the line $3\rho\cos \theta+4\rho\sin \theta+m=0$ and the circle $\begin{cases} x=-1+\cos \theta \\ y=2+\sin \theta \end{cases}$ (with $\theta$ as the parameter) have no common points, then the range of the real number $m$ is \_\_\_\_\_\_.

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