
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 $\{\overrightarrow{i},\overrightarrow{j},\overrightarrow{k}\}$ be a standard orthogonal basis of space. If $\overrightarrow{m}=8\overrightarrow{i}+3\overrightarrow{k}$ and $\overrightarrow{n}=-\overrightarrow{i}+5\overrightarrow{j}-4\overrightarrow{k}$, calculate the value of $\overrightarrow{m}•\overrightarrow{n}$.

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