`Index(MutableSequence[tuple])` should give `MultiIndex`

[cmp0xff]

Describe the bug

A clear and concise description of what the bug is.

To Reproduce

Provide a minimal runnable pandas example

from typing import reveal_type
import pandas as pd
from collections import UserList, deque

data = [(1,), (2,)]

# runtime, all is MultiIndex
reveal_type(pd.Index(data))  # static: Index
reveal_type(pd.Index(UserList(data)))  # static: Index
reveal_type(pd.Index(deque(data)))  # static: not supported

Indicate which type checker you are using

both

Show the error message received from that type checker while checking your example.

mypy

ttest.py:8: note: Revealed type is "pandas.core.indexes.base.Index[Any]"
ttest.py:9: note: Revealed type is "pandas.core.indexes.base.Index[Any]"
ttest.py:10: note: Revealed type is "pandas.core.indexes.base.Index[builtins.bool]"
ttest.py:10: error: Argument 1 to "deque" has incompatible type "list[tuple[int]]"; expected "Iterable[builtins.bool | numpy.bool[builtins.bool]]"  [arg-type]
Found 1 error in 1 file (checked 1 source file)

pyright

ttest.py
  ttest.py:8:13 - information: Type of "pd.Index(data)" is "Index[Any]"
  ttest.py:9:13 - information: Type of "pd.Index(UserList(data))" is "Index[Any]"
  ttest.py:10:13 - error: No overloads for "__new__" match the provided arguments (reportCallIssue)
  ttest.py:10:13 - information: Type of "pd.Index(deque(data))" is "Index[Any]"
  ttest.py:10:22 - error: Argument of type "deque[tuple[int]]" cannot be assigned to parameter "data" of type "AxesData[Unknown]" in function "__new__"
    Type "deque[tuple[int]]" is not assignable to type "AxesData[Unknown]"
      "deque[tuple[int]]" is not assignable to "Mapping[Unknown, Any]"
      "deque[tuple[int]]" is not assignable to "ExtensionArray"
      "deque[tuple[int]]" is not assignable to "ndarray[_AnyShape, dtype[Any]]"
      "deque[tuple[int]]" is not assignable to "Index[Any]"
      "deque[tuple[int]]" is not assignable to "Series[Any]"
      "deque[tuple[int]]" is incompatible with protocol "SequenceNotStr[Any]"
        "__getitem__" is an incompatible type
    ... (reportArgumentType)
  ttest.py:10:22 - error: Argument of type "deque[tuple[int]]" cannot be assigned to parameter "data" of type "AxesData[Unknown]" in function "__new__"
    Type "deque[tuple[int]]" is not assignable to type "AxesData[Unknown]"
      "deque[tuple[int]]" is not assignable to "Mapping[Unknown, Any]"
      "deque[tuple[int]]" is not assignable to "ExtensionArray"
      "deque[tuple[int]]" is not assignable to "ndarray[_AnyShape, dtype[Any]]"
      "deque[tuple[int]]" is not assignable to "Index[Any]"
      "deque[tuple[int]]" is not assignable to "Series[Any]"
      "deque[tuple[int]]" is incompatible with protocol "SequenceNotStr[Any]"
        "__getitem__" is an incompatible type (reportArgumentType)
3 errors, 0 warnings, 3 informations

Please complete the following information:

• OS: Windows
• OS Version: 11
• python version: 3.14
• version of type checker: mypy 1.18.2, pyright 1.1.407
• version of installed pandas-stubs: 5a47589

Additional context

We need to fix Index.__new__.