
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
Charlie picks a card at random from twelve cards numbered 1 through 12. The number on this card will indicate his starting point on a number line. Charlie will then spin a fair spinner (which has three congruent sectors) with instructions: move 2 spaces right, move 2 spaces left, move 1 space left. After moving according to his first spin result, he spins the spinner again and follows the instruction. What is the probability that he ends up at a multiple of 4 on the number line? Express your answer as a common fraction.

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