
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 universal set $U=\mathbb{R}$, let set $A$ be defined as $\{x \mid x^2-2x-3 \leq 0, x \in \mathbb{R}\}$, and set $B$ as $\{x \mid |x-2|<2, x \in \mathbb{R}\}$. Find the intersection set $A \cap B$.

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