
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 the universal set $U = \mathbb{R}$, and consider the sets $A = \{x \mid |x-a| < 1\}$, $B = \left\{x \mid \frac{x+1}{x-2} \leq 2 \right\}$.  
(1) Find the set $B$;  
(2) If $A \subseteq (\complement_{U} B)$, find the range of the real number $a$.

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