
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 proposition $p$: $x \in A$, and $A = \{x | a-1 < x < a+1\}$, proposition $q$: $x \in B$, and $B = \{x | x^{2}-4x+3 \geqslant 0\}$  
(Ⅰ) If $A \cap B = \varnothing$ and $A \cup B = \mathbb{R}$, find the value of the real number $a$;  
(Ⅱ) If $p$ is a sufficient condition for $q$, find the range of values for the real number $a$.

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