
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 sets $A=\{x|y=\sqrt{3-2x-x^{2}} \}$ and $B=\{x|x^{2}-2x+1-m^{2}\leqslant 0\}$.
$(1)$ If $m=3$, find $A\cap B$;
$(2)$ If $m > 0$ and $A\subseteq B$, find the range of $m$.

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