
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
Fibonacci, an Italian mathematician, is known for the Fibonacci sequence, where the sequence $\{a_{n}\}$ satisfies $a_{1}=a_{2}=1$, and $a_{n+2}=a_{n+1}+a_{n}$, then the sequence $\{a_{n}\}$ is called the Fibonacci sequence. Given that the sequence $\{a_{n}\}$ is a Fibonacci sequence, and the sequence $\{b_{n}\}$ satisfies ${b_{n+3}}+{(-1)^{{a_n}}}{b_n}=n$, if the sum of the first $12$ terms of the sequence $\{b_{n}\}$ is $86$, then $b_{1}+b_{2}=$____.

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