
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
In the complex plane, points A, B, C are given, where point A corresponds to the complex number $2+i$. The complex number corresponding to $\overrightarrow{BA}$ is $1+2i$, and the complex number corresponding to $\overrightarrow{BC}$ is $3-i$. What is the complex number corresponding to point C?

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