
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 $p$: For $\forall x \in \mathbb{R}$, it always holds that $ax^{2}+ax+1 > 0$; proposition $q$: The standard equation of the hyperbola is $\dfrac{x^{2}}{1-a}+ \dfrac{y^{2}}{a-3}=1$. If proposition $p \land q$ is true, find the range of the real number $a$.

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