gnu: Remove python-pydantic-1.

* gnu/packages/python-xyz.scm (python-pydantic-1): Delete variable.

Fixes: guix/guix#7186
Change-Id: I75088c0eaa764fc6dd499801da64124eb7fbecf4

gnu/packages/python-xyz.scm

@@ -10497,33 +10497,6 @@ which can produce feeds in RSS 2.0, RSS 0.91, and Atom formats.")
 errors when data is invalid.")
     (license license:expat)))
 
-(define-public python-pydantic-1
-  (package
-    (inherit python-pydantic)
-    (name "python-pydantic")
-    (version "1.10.19")
-    (source
-     (origin
-       (method git-fetch)
-       (uri (git-reference
-              (url "https://github.com/samuelcolvin/pydantic")
-              (commit (string-append "v" version))))
-       (file-name (git-file-name name version))
-       (sha256
-        (base32 "0swcpfq1y0h5dcj82idls8k5la4xh4c0vz47y7jci2qass8gjffc"))))
-    (build-system pyproject-build-system)
-    (arguments
-     (list
-      #:test-flags
-      ;; One test fails with  not equal assertion.
-      #~(list "--deselect=tests/test_validators.py::test_assert_raises_validation_error")))
-    (native-inputs
-     (list python-pytest
-           python-pytest-mock
-           python-setuptools))
-    (propagated-inputs
-     (list python-typing-extensions))))
-
 ;; It may be removed after 2026-01-05.
 (define-deprecated/public-alias python-pydantic-2 python-pydantic)