
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
The town of Hillgrove uses a code system for their vehicle passes which consist of four letters. The first letter is chosen from the set $\{B, F, S, W\}$, the second from $\{E, U\}$, the third from $\{G, K, P\}$, and the fourth from $\{L, R, Z\}$. To accommodate increasing demand, Hillgrove's council decided to add two new letters to the first set and one new letter to the third set. How many more vehicle pass combinations can be made with these additions compared to the original?

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