
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
Let $\overrightarrow{i}$ and $\overrightarrow{j}$ be two non-collinear vectors. Given that $\overrightarrow{AB} = 3\overrightarrow{i} + 2\overrightarrow{j}$, $\overrightarrow{CB} = \overrightarrow{i} + \lambda\overrightarrow{j}$, $\overrightarrow{CD} = -2\overrightarrow{i} + \overrightarrow{j}$, and points A, B, and D are collinear, find the value of the real number $\lambda$.

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