
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
Let's consider a five-digit palindrome of the form $\overline{abcba}$, where $a, b, c$ are digits with $a \neq 0$ and $b$ even. Calculate the sum of all such palindromes and find the sum of the digits of this total sum.
A) $18$
B) $27$
C) $36$
D) $45$
E) $54$

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