
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 set $A=[a-3, a]$, and the function $f(x)=\left(\frac{3}{2}\right)^{x^2-4x}$ ($-2\leq x \leq 5$), the interval of decrease for function $f(x)$ is set $B$.  
(1) If $a=0$, find $(\complement_R A) \cup (\complement_R B)$;  
(2) If $A \cap B = A$, find the range of the real number $a$.

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