
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 Treeland, an ornamental license TreeTag system uses three characters: one numeral, one letter, and one symbol. The numeral comes from the set $\{1, 2, 3, 4\},$ the letter from $\{A, E, I\},$ and the symbol from $\{!, @, \#, \$\}.$

Given the need for more TreeTags, Treeland's authorities decide to add two new characters. One character is a numeral, and the other is a symbol. How many additional TreeTags can be made with this new arrangement?

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