
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 $A = \{x \,|\, |x| \leq 1\}$ and $B = \{x \,|\, x^2 + 4x + 3 < 0\}$. Find the set $C$ such that $C$ satisfies the following three conditions:
(1) $C \subseteq (A \cup B) \cap \mathbb{Z}$;
(2) $C$ has two elements;
(3) $C \cap B \neq \emptyset$.

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