
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 an arithmetic sequence $\{a\_n\}$ with a finite number of terms, where $a\_1 \in \mathbb{R}$ and the common difference $d = 2$. Let $S$ represent the sum of all terms in the sequence. If $a\_1^2 + S \leq 96$, then the sequence $\{a\_n\}$ has at most $\_\_\_\_\_\_\_\_$ terms.

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