
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 the vector $\overrightarrow{m}$ with the coordinates (8, 6, 4) in the basis $\{\overrightarrow{a}, \overrightarrow{b}, \overrightarrow{c}\}$, where $\overrightarrow{a}= \overrightarrow{i} + \overrightarrow{j}$, $\overrightarrow{b}= \overrightarrow{j} + \overrightarrow{k}$, $\overrightarrow{c}= \overrightarrow{k} + \overrightarrow{i}$, find the coordinates of vector $\overrightarrow{m}$ in the standard basis $\{\overrightarrow{i}, \overrightarrow{j}, \overrightarrow{k}\}$.

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