
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
A wizard concocts a mystical potion requiring a magical plant and a specific gemstone. There are four magical plants and six gemstones available for the potion. Two specific gemstones are incompatible with one of the plants, while one other gemstone cannot be used with two different plants. How many valid combinations of plants and gemstones can the wizard use to make his potion?

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