
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
In the original operation rules of real numbers, we define a new operation "$\Delta$" as follows: when $x\leqslant y$, $x\Delta y=\sqrt{|x|}$; when $x \gt y$, $x\Delta y=y$. Find the value of $\left[-9\Delta \left(-3\right)\right]\times \left[4\Delta \left(-3\right)\right]$.

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