
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
There are four complex numbers \( a+bi \), \( c+di \), \( e+fi \), and \( g+hi \). Given \( b=2 \), \( g=-(a+c+e) \), and the sum of the numbers is \( 3i \), find \( d+f+h \).

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