
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 $\{a_n\}$, the sum of the first three terms is -3, and the product of the first three terms is 8.
(Ⅰ) Find the general formula for the arithmetic sequence $\{a_n\}$;
(Ⅱ) If $\{a_n\}$ satisfies $a_{3}^{2}=a_{1}a_{2}$, find the sum of the first 10 terms of the sequence $\{|a_n|\}$, denoted as $S_{10}$.

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