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Remove Odd Index Characters

Write a Python function `remove_odd_index_characters(s: str) -> str` that takes a string `s` as input and returns a new string with all characters at odd index positions removed. Indexing starts at 0, so characters at indices 1, 3, 5, etc., should be removed.

#### Example Usage
```python [main.nopy]
remove_odd_index_characters("abcdef")  # Output: "ace"
remove_odd_index_characters("python")  # Output: "pto"
remove_odd_index_characters("data")    # Output: "dt"
remove_odd_index_characters("lambs")   # Output: "lms"
```

#### Constraints
- The input string will only contain printable ASCII characters.
- The function should handle empty strings gracefully.
def remove_odd_index_characters(s: str) -> str:
    """
    Remove characters at odd index positions from the input string.

    Args:
        s (str): The input string.

    Returns:
        str: A new string with characters at odd indices removed.
    """
    # Initialize an empty string to store the result
    result = ""
    # Iterate through the string and append characters at even indices
    # Placeholder for implementation
    return result
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