
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 non-collinear vectors $\overrightarrow{a}$, $\overrightarrow{b}$, and $\overrightarrow{AB} = t\overrightarrow{a} - \overrightarrow{b}$ ($t \in \mathbb{R}$), $\overrightarrow{AC} = 2\overrightarrow{a} + 3\overrightarrow{b}$. If points A, B, and C are collinear, find the value of the real number $t$.

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