
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 sequence \(\{a_n\}\), given that \(a_1 = 4\) and \(a_{n+1} = a_n + 2\) for \(n \in \mathbb{N}^*\):  
(1) Find the general formula for the sequence \(\{a_n\}\).  
(2) Let \(b_n = (\sqrt{2})^{a_n - 2} - 3n\), calculate \(\lvert b_1 \rvert + \lvert b_2 \rvert + \lvert b_3 \rvert + \ldots + \lvert b_{10} \rvert\).

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