
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
Last year, a mountain bike cost $\$250$ and a cycling helmet $\$60$. This year, the cost of the mountain bike increased by $8\%$, and the cost of the helmet increased by $15\%$. Additionally, a pair of cycling gloves that cost $\$30$ last year now costs $\$10\%$ more. Calculate the new total cost after a $5\%$ discount is applied.

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