
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
You have a certain number of gold coins that you wish to distribute equally among your 13 best friends. As you begin to divide the coins, you realize that by distributing all the coins, 3 friends will receive one additional gold coin compared to others. Given that you have fewer than 150 gold coins, what is the maximum number of gold coins you can have for this arrangement to occur?

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