[python] upgrade generated code dep to azure-core 1.37.0 (#3289)

* Update dependencies

* Add changelog .chronus/changes/auto-iscai-msft-python-upgradeCore-2025-11-19-14-42-51.md

* Update dependencies (2025-12-22 03:53:02)

* Regenerate for typespec-python (2025-12-22 03:58:23)

* Regenerate for autorest.python (2025-12-22 04:12:52)

* fix ci

---------

Co-authored-by: AutoPrFromHttpClientPython <AutoPrFromHttpClientPython>

Author: msyyc

.chronus/changes/auto-iscai-msft-python-upgradeCore-2025-11-19-14-42-51.md

@@ -29,7 +29,7 @@
   },
   "homepage": "https://github.com/Azure/autorest.python/blob/main/README.md",
   "dependencies": {
-    "@typespec/http-client-python": "https://artprodcus3.artifacts.visualstudio.com/A0fb41ef4-5012-48a9-bf39-4ee3de03ee35/29ec6040-b234-4e31-b139-33dc4287b756/_apis/artifact/cGlwZWxpbmVhcnRpZmFjdDovL2F6dXJlLXNkay9wcm9qZWN0SWQvMjllYzYwNDAtYjIzNC00ZTMxLWIxMzktMzNkYzQyODdiNzU2L2J1aWxkSWQvNTY4NjczMS9hcnRpZmFjdE5hbWUvYnVpbGRfYXJ0aWZhY3RzX3B5dGhvbg2/content?format=file&subPath=%2Fpackages%2Ftypespec-http-client-python-0.23.1.tgz",
+    "@typespec/http-client-python": "https://artprodcus3.artifacts.visualstudio.com/A0fb41ef4-5012-48a9-bf39-4ee3de03ee35/29ec6040-b234-4e31-b139-33dc4287b756/_apis/artifact/cGlwZWxpbmVhcnRpZmFjdDovL2F6dXJlLXNkay9wcm9qZWN0SWQvMjllYzYwNDAtYjIzNC00ZTMxLWIxMzktMzNkYzQyODdiNzU2L2J1aWxkSWQvNTY5MjMzOC9hcnRpZmFjdE5hbWUvYnVpbGRfYXJ0aWZhY3RzX3B5dGhvbg2/content?format=file&subPath=%2Fpackages%2Ftypespec-http-client-python-0.23.1.tgz",
     "@autorest/system-requirements": "~1.0.2",
     "fs-extra": "~11.2.0",
     "tsx": "~4.19.1"

packages/autorest.python/package.json

@@ -24,7 +24,7 @@
     include_package_data=True,
     install_requires=[
         "isodate>=0.6.1",
-        "azure-core>=1.36.0",
+        "azure-core>=1.37.0",
         "typing-extensions>=4.6.0",
     ],
     long_description="""\

packages/autorest.python/samples/specification/azure_key_credential/generated/setup.py

@@ -24,7 +24,7 @@
     include_package_data=True,
     install_requires=[
         "isodate>=0.6.1",
-        "azure-core>=1.36.0",
+        "azure-core>=1.37.0",
         "typing-extensions>=4.6.0",
     ],
     long_description="""\

packages/autorest.python/samples/specification/basic/generated/setup.py

@@ -24,7 +24,7 @@
     include_package_data=True,
     install_requires=[
         "isodate>=0.6.1",
-        "azure-core>=1.36.0",
+        "azure-core>=1.37.0",
         "typing-extensions>=4.6.0",
     ],
     long_description="""\

packages/autorest.python/samples/specification/directives/generated/setup.py

@@ -24,7 +24,7 @@
     include_package_data=True,
     install_requires=[
         "isodate>=0.6.1",
-        "azure-core>=1.36.0",
+        "azure-core>=1.37.0",
         "typing-extensions>=4.6.0",
     ],
     long_description="""\

packages/autorest.python/test/azure/legacy/Expected/AcceptanceTests/AzureBodyDuration/setup.py

@@ -24,7 +24,7 @@
     include_package_data=True,
     install_requires=[
         "msrest>=0.7.1",
-        "azure-core>=1.36.0",
+        "azure-core>=1.37.0",
         "typing-extensions>=4.6.0",
     ],
     long_description="""\

packages/autorest.python/test/azure/legacy/Expected/AcceptanceTests/AzureParameterGrouping/setup.py

@@ -24,7 +24,7 @@
     include_package_data=True,
     install_requires=[
         "isodate>=0.6.1",
-        "azure-core>=1.36.0",
+        "azure-core>=1.37.0",
         "typing-extensions>=4.6.0",
     ],
     long_description="""\

packages/autorest.python/test/azure/legacy/Expected/AcceptanceTests/AzureReport/setup.py

@@ -24,7 +24,7 @@
     include_package_data=True,
     install_requires=[
         "msrest>=0.7.1",
-        "azure-core>=1.36.0",
+        "azure-core>=1.37.0",
         "typing-extensions>=4.6.0",
     ],
     long_description="""\

packages/autorest.python/test/azure/legacy/Expected/AcceptanceTests/CustomBaseUri/setup.py

@@ -24,7 +24,7 @@
     include_package_data=True,
     install_requires=[
         "isodate>=0.6.1",
-        "azure-core>=1.36.0",
+        "azure-core>=1.37.0",
         "typing-extensions>=4.6.0",
     ],
     long_description="""\