update typing vnext versions (#43065)

* update typing vnext versions

* update date for next vnext bump

Author: kristapratico

doc/analyze_check_versions.md

@@ -5,9 +5,9 @@ This table is to clarify the currently pinned version of tools we run in CI and
 
 | Tool | Current Version | Next Version | Next Version Merge Date |
 |------|-----------------|--------------|-------------------------|
-Pylint | 3.2.7 | 3.2.7 | 2025-10-13 |
-Pylint Guidelines Checker | 0.5.6 | 0.5.7 | 2025-10-13 |
-MyPy | 1.14.1 | 1.14.1 | 2025-10-13 |
-Pyright | 1.1.391 | 1.1.391 | 2025-10-13 |
+Pylint | 3.2.7 | 3.2.7 | 2026-01-12 |
+Pylint Guidelines Checker | 0.5.6 | 0.5.7 | 2026-01-12 |
+MyPy | 1.14.1 | 1.18.1 | 2026-01-12 |
+Pyright | 1.1.391 | 1.1.405 | 2026-01-12 |
 Sphinx | 8.2.0 | N/A | N/A |
 Black | 24.4.0 | N/A | N/A |

eng/tox/tox.ini

@@ -190,7 +190,7 @@ commands =
 
 [testenv:next-mypy]
 description=Typechecks a package with the latest version of mypy
-mypy_version=1.14.1
+mypy_version=1.18.1
 skipsdist = true
 skip_install = true
 usedevelop = true
@@ -239,7 +239,7 @@ commands =
 
 [testenv:next-pyright]
 description=Typechecks a package with the latest version of static type-checker pyright
-pyright_version=1.1.391
+pyright_version=1.1.405
 skipsdist = true
 skip_install = true
 usedevelop = true