
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 set $A=\{x\left|\right.-3 \lt x \lt 4\}$, set $B=\{x\left|\right.m-1 \lt x \lt 3m+3\}$.  
$(1)$ When $m=2$, find $A$⋃$B$ and $A$⋂$(\complement _{R}B)$.  
$(2)$ If $A\cap B=\varnothing$, find the range of values for $m$.

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