
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 that $({x}^{2}+1)(2x+1{)}^{11}={a}_{0}+{a}_{1}(x+2)+{a}_{2}(x+2{)}^{2}+\cdots +{a}_{13}(x+2{)}^{13}$, find the value of ${a}_{0}+{a}_{1}+{a}_{2}+\cdots +{a}_{13}$.

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