
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 are looking to evenly distribute your collection of gold coins among 13 friends. After distributing them, you find that 3 of your friends would receive one extra coin if you gave away all your coins. You own fewer than 150 gold coins. Determine the maximum number of gold coins you could have for this scenario to occur.

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