
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
A person begins with $\$128$ and makes 8 bets, with equal chances of winning and losing, each bet being for half the current amount of money. If a win immediately follows a loss, there is an additional $\$10$ bonus added to the total after that round of betting. Calculate the final result.

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