
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
Two planes α and β intersect. In each of the planes, take two points such that none of these four points lie on the line of intersection. Determine how many planes can be defined by these four points.

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