
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, there are three points A, B, and C. The complex number corresponding to point A is $2+i$. The complex number corresponding to vector $\overrightarrow{BA}$ is $2+3i$, and the complex number corresponding to vector $\overrightarrow{BC}$ is $3-i$. Find the complex number corresponding to point C.

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