
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 $A=\{ x\mid y=\sqrt{3-2x-x^{2}} \}$ and $B=\{ x\mid x^{2}-2x+1-m^{2}\leqslant 0 \}$.

1. Find $A\cap B$ when $m=3$.
2. Find the range of $m$ when $m > 0$ and $A\subseteq B$.

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