
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
Let $A=\{x| -2 \leq x \leq 5\}$, $B=\{x| m-1 \leq x \leq 2m+1\}$.  
$(1)$ If $m=3$, find $A \cap B$ and $(\complement _{R}A) \cup B$;  
$(2)$ If $A \cap B = \varnothing$, find the range of values for $m$.

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