
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
We define the operator "$\triangle$" as follows: when $a \gt b$, $a\triangle b=a+b$; when $a\leqslant b$, $a\triangle b=a-b$. Calculate: $(\sqrt{3}\triangle\sqrt{2})+(2\sqrt{3}\triangle3\sqrt{2})=$____.

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