deps: Update dependency basedpyright to >=1.31.1

Author: renovate[bot]

pixi.lock

@@ -58,7 +58,7 @@ array-api-extra = { path = ".", editable = true }
 typing-extensions = ">=4.14.1"
 pylint = ">=3.3.7"
 mypy = ">=1.17.1"
-basedpyright = ">=1.31.0"
+basedpyright = ">=1.31.1"
 numpydoc = ">=1.9.0,<2"
 # import dependencies for mypy:
 array-api-strict = ">=2.4.1,<2.5"