
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 propositions $p$ and $q$:
$p$: $\forall x \in [0,3]$, $a \geqslant -x^2 + 2x - \frac{2}{3}$,
$q$: $\exists x \in \mathbb{R}$, $x^2 + 4x + a = 0$.
Find the range of values of the real number $a$ such that the proposition "$p \land q$" is true.

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