
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 $Z(M)$ denote the number of subsets of set $M$. Given set $A = \{x \in \mathbb{N} \mid -1 < \log_2{x} \leq 2\}$ and set $B = \{x \mid \frac{5 - 2x}{x - 6} > 0\}$, find $Z(A \cap B)$.

A) 3
B) 4
C) 5
D) 7

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