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Check Equal Tuple Lengths

Write a Python function `check_equal_tuple_lengths(tuples_list)` that determines whether all tuples in a given list have the same length. The function should return `True` if all tuples have the same length, and `False` otherwise.

#### Example Usage
```python [main.nopy]
check_equal_tuple_lengths([(1, 2, 3), (4, 5, 6)])  # Returns: True
check_equal_tuple_lengths([(1, 2), (3, 4, 5)])    # Returns: False
check_equal_tuple_lengths([])                     # Returns: True
```

#### Constraints
- The input will always be a list of tuples.
- The function should handle an empty list gracefully.
def check_equal_tuple_lengths(tuples_list):
    """
    Determine if all tuples in the list have the same length.

    Args:
        tuples_list (list): A list of tuples.

    Returns:
        bool: True if all tuples have the same length, False otherwise.
    """
    # Placeholder for the solution
    pass