
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 \( I \) is the incenter of \(\triangle ABC\), \( AC = 2, BC = 3, AB = 4 \). If \(\overrightarrow{AI} = x \overrightarrow{AB} + y \overrightarrow{AC} \), calculate the value of \( x + y \).

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