
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
A number is divisible by $8$ if the number formed by its last $3$ digits is divisible by $8.$ Determine the possible values for the digits $A$ and $B$ such that $856\,739\,AB4$ is divisible by $8$, and calculate the sum of all distinct values of $A + B$ where $A$ and $B$ are single-digit numbers.

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