
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
In TriCity, motorcycle license plates each contain four letters. The number of choices for each position from left to right are originally 3, 4, 2, and 5 respectively. After noticing a demand increase, TriCity decided to add two new letters to enhance their plate numbers. One new letter is added to the first set and the other new letter is added to the third set. What is the largest possible number of ADDITIONAL license plates that can be made by these additions?

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