
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
In a game between Lucas and Maria, a number of coins are placed on a table. The rules are as follows: Lucas can remove $3$ or $5$ coins when it's his turn, unless only two coins remain, in which case he loses his turn. Maria can remove $2$ or $4$ coins on her turn. The game begins with Lucas, and whoever can take the last coin wins. If the game starts with $2029$ coins and both players use the best strategy, who will win?
**A)** Lucas wins with $2029$ coins.
**B)** Maria wins with $2029$ coins.
**C)** Whoever goes first wins with $2029$ coins.
**D)** Whoever goes first loses with $2029$ coins.

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