diff --git a/.github/workflows/test.yml b/.github/workflows/test.yml
index 22f314a5..af806e10 100644
--- a/.github/workflows/test.yml
+++ b/.github/workflows/test.yml
@@ -35,13 +35,13 @@ jobs:
         if [[ "${{ github.event_name }}" == "schedule" || "${{ github.head_ref }}" =~ ^release_ ]]; then \
           echo "matrix={ \
             \"os\": [ \"ubuntu-latest\", \"macos-latest\", \"windows-latest\" ], \
-            \"python-version\": [ \"3.8\", \"3.9\", \"3.10\", \"3.11\", \"3.12\", \"3.13.0-rc.1\" ], \
+            \"python-version\": [ \"3.8\", \"3.9\", \"3.10\", \"3.11\", \"3.12\", \"3.13\" ], \
             \"package_level\": [ \"minimum\", \"latest\" ] \
           }" >> $GITHUB_OUTPUT; \
         else \
           echo "matrix={ \
             \"os\": [ \"ubuntu-latest\" ], \
-            \"python-version\": [ \"3.12\" ], \
+            \"python-version\": [ \"3.13\" ], \
             \"package_level\": [ \"minimum\", \"latest\" ], \
             \"include\": [ \
               { \
@@ -49,21 +49,6 @@ jobs:
                 \"python-version\": \"3.8\", \
                 \"package_level\": \"latest\" \
               }, \
-              { \
-                \"os\": \"ubuntu-latest\", \
-                \"python-version\": \"3.13.0-rc.1\", \
-                \"package_level\": \"minimum\" \
-              }, \
-              { \
-                \"os\": \"ubuntu-latest\", \
-                \"python-version\": \"3.13.0-rc.1\", \
-                \"package_level\": \"latest\" \
-              }, \
-              { \
-                \"os\": \"macos-latest\", \
-                \"python-version\": \"3.8\", \
-                \"package_level\": \"minimum\" \
-              }, \
               { \
                 \"os\": \"macos-latest\", \
                 \"python-version\": \"3.8\", \
@@ -76,47 +61,17 @@ jobs:
               }, \
               { \
                 \"os\": \"macos-latest\", \
-                \"python-version\": \"3.12\", \
+                \"python-version\": \"3.13\", \
                 \"package_level\": \"minimum\" \
               }, \
-              { \
-                \"os\": \"macos-latest\", \
-                \"python-version\": \"3.12\", \
-                \"package_level\": \"latest\" \
-              }, \
-              { \
-                \"os\": \"macos-latest\", \
-                \"python-version\": \"3.13.0-rc.1\", \
-                \"package_level\": \"minimum\" \
-              }, \
-              { \
-                \"os\": \"macos-latest\", \
-                \"python-version\": \"3.13.0-rc.1\", \
-                \"package_level\": \"latest\" \
-              }, \
               { \
                 \"os\": \"windows-latest\", \
                 \"python-version\": \"3.8\", \
-                \"package_level\": \"latest\" \
-              }, \
-              { \
-                \"os\": \"windows-latest\", \
-                \"python-version\": \"3.12\", \
-                \"package_level\": \"minimum\" \
-              }, \
-              { \
-                \"os\": \"windows-latest\", \
-                \"python-version\": \"3.12\", \
-                \"package_level\": \"latest\" \
-              }, \
-              { \
-                \"os\": \"windows-latest\", \
-                \"python-version\": \"3.13.0-rc.1\", \
                 \"package_level\": \"minimum\" \
               }, \
               { \
                 \"os\": \"windows-latest\", \
-                \"python-version\": \"3.13.0-rc.1\", \
+                \"python-version\": \"3.13\", \
                 \"package_level\": \"latest\" \
               } \
             ] \
diff --git a/changes/620.feature.rst b/changes/620.feature.rst
new file mode 100644
index 00000000..4a9cd8c2
--- /dev/null
+++ b/changes/620.feature.rst
@@ -0,0 +1 @@
+Test: Added tests for Python 3.13 (final version).
diff --git a/dev-requirements.txt b/dev-requirements.txt
index 8aa56878..6194fde0 100644
--- a/dev-requirements.txt
+++ b/dev-requirements.txt
@@ -83,8 +83,10 @@ autodocsumm>=0.2.12
 Babel>=2.11.0
 
 # PyLint (no imports, invoked via pylint script)
-pylint>=3.0.1
-astroid>=3.0.1
+pylint>=3.0.1; python_version == '3.8'
+pylint>=3.3.1; python_version >= '3.9'
+astroid>=3.0.1; python_version == '3.8'
+astroid>=3.3.5; python_version >= '3.9'
 lazy-object-proxy>=1.4.3
 wrapt>=1.15
 # platformdirs is also used by tox
diff --git a/minimum-constraints-develop.txt b/minimum-constraints-develop.txt
index 4fe134d1..c315d740 100644
--- a/minimum-constraints-develop.txt
+++ b/minimum-constraints-develop.txt
@@ -72,8 +72,10 @@ autodocsumm==0.2.12
 Babel==2.11.0
 
 # PyLint (no imports, invoked via pylint script):
-pylint==3.0.1
-astroid==3.0.1
+pylint==3.0.1; python_version == '3.8'
+pylint==3.3.1; python_version >= '3.9'
+astroid==3.0.1; python_version == '3.8'
+astroid==3.3.5; python_version >= '3.9'
 lazy-object-proxy==1.4.3
 wrapt==1.15
 platformdirs==4.1.0