
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 sets $A=\{x|{x}^{2}+x-12＜0\},B=\{x|\frac{4}{x+3}≤1\},C=\{x|{x}^{2}-2mx+{m}^{2}-1≤0\}$.<br/>$(1)$ Find $A\cap B$;<br/>$(2)$ If "$x\in A$" is a necessary but not sufficient condition for "$x\in C$", find the range of real number $m$.

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