move socket.error classes from _socket to socket (#12746)

They're implemented in C, but consider themselves to live in
socket.

stdlib/_socket.pyi

@@ -1,6 +1,7 @@
 import sys
 from _typeshed import ReadableBuffer, WriteableBuffer
 from collections.abc import Iterable
+from socket import error as error, gaierror as gaierror, herror as herror, timeout as timeout
 from typing import Any, SupportsIndex, overload
 from typing_extensions import TypeAlias
 
@@ -666,18 +667,6 @@ if sys.platform != "win32":
 if sys.platform != "win32" and sys.platform != "darwin":
     IPX_TYPE: int
 
-# ===== Exceptions =====
-
-error = OSError
-
-class herror(error): ...
-class gaierror(error): ...
-
-if sys.version_info >= (3, 10):
-    timeout = TimeoutError
-else:
-    class timeout(error): ...
-
 # ===== Classes =====
 
 class socket:
@@ -687,8 +676,9 @@ class socket:
     def type(self) -> int: ...
     @property
     def proto(self) -> int: ...
+    # F811: "Redefinition of unused `timeout`"
     @property
-    def timeout(self) -> float | None: ...
+    def timeout(self) -> float | None: ...  # noqa: F811
     if sys.platform == "win32":
         def __init__(
             self, family: int = ..., type: int = ..., proto: int = ..., fileno: SupportsIndex | bytes | None = ...
@@ -788,7 +778,9 @@ def inet_ntoa(packed_ip: ReadableBuffer, /) -> str: ...
 def inet_pton(address_family: int, ip_string: str, /) -> bytes: ...
 def inet_ntop(address_family: int, packed_ip: ReadableBuffer, /) -> str: ...
 def getdefaulttimeout() -> float | None: ...
-def setdefaulttimeout(timeout: float | None, /) -> None: ...
+
+# F811: "Redefinition of unused `timeout`"
+def setdefaulttimeout(timeout: float | None, /) -> None: ...  # noqa: F811
 
 if sys.platform != "win32":
     def sethostname(name: str, /) -> None: ...

stdlib/socket.pyi

@@ -109,8 +109,6 @@ from _socket import (
     _RetAddress as _RetAddress,
     close as close,
     dup as dup,
-    error as error,
-    gaierror as gaierror,
     getdefaulttimeout as getdefaulttimeout,
     gethostbyaddr as gethostbyaddr,
     gethostbyname as gethostbyname,
@@ -121,7 +119,6 @@ from _socket import (
     getservbyname as getservbyname,
     getservbyport as getservbyport,
     has_ipv6 as has_ipv6,
-    herror as herror,
     htonl as htonl,
     htons as htons,
     if_indextoname as if_indextoname,
@@ -134,7 +131,6 @@ from _socket import (
     ntohl as ntohl,
     ntohs as ntohs,
     setdefaulttimeout as setdefaulttimeout,
-    timeout as timeout,
 )
 from _typeshed import ReadableBuffer, Unused, WriteableBuffer
 from collections.abc import Iterable
@@ -486,6 +482,18 @@ EBADF: int
 EAGAIN: int
 EWOULDBLOCK: int
 
+# These errors are implemented in _socket at runtime
+# but they consider themselves to live in socket so we'll put them here.
+error = OSError
+
+class herror(error): ...
+class gaierror(error): ...
+
+if sys.version_info >= (3, 10):
+    timeout = TimeoutError
+else:
+    class timeout(error): ...
+
 class AddressFamily(IntEnum):
     AF_INET = 2
     AF_INET6 = 10