feat(lambda): add supportsSnapStart config to dotnet8 and python 3.12 (…

…#32112)

### Issue # (if applicable)

N/A

### Description of changes

This change adds supportsSnapStart as true to dotnet8. This change is needed as Lambda Runtimes team is working on launching Snapstart support for dotnet8.

Original PR raised by @Beau-Gosse-dev

### Description of how you validated changes

Verified the change is the same as Python and Java.

In addition, added new integ test

### Checklist
- [x] My code adheres to the [CONTRIBUTING GUIDE](https://github.com/aws/aws-cdk/blob/main/CONTRIBUTING.md) and [DESIGN GUIDELINES](https://github.com/aws/aws-cdk/blob/main/docs/DESIGN_GUIDELINES.md)

----

*By submitting this pull request, I confirm that my contribution is made under the terms of the Apache-2.0 license*

packages/@aws-cdk-testing/framework-integ/test/aws-lambda/test/integ.lambda-snapstart.js.snapshot/aws-cdk-lambda-runtime-management.template.json

@@ -0,0 +1,256 @@
+{
+ "Resources": {
+  "JavaSnapstartLambdaServiceRole50CD4832": {
+   "Type": "AWS::IAM::Role",
+   "Properties": {
+    "AssumeRolePolicyDocument": {
+     "Statement": [
+      {
+       "Action": "sts:AssumeRole",
+       "Effect": "Allow",
+       "Principal": {
+        "Service": "lambda.amazonaws.com"
+       }
+      }
+     ],
+     "Version": "2012-10-17"
+    },
+    "ManagedPolicyArns": [
+     {
+      "Fn::Join": [
+       "",
+       [
+        "arn:",
+        {
+         "Ref": "AWS::Partition"
+        },
+        ":iam::aws:policy/service-role/AWSLambdaBasicExecutionRole"
+       ]
+      ]
+     }
+    ]
+   }
+  },
+  "JavaSnapstartLambdaB19F6BA4": {
+   "Type": "AWS::Lambda::Function",
+   "Properties": {
+    "Code": {
+     "S3Bucket": {
+      "Fn::Sub": "cdk-hnb659fds-assets-${AWS::AccountId}-${AWS::Region}"
+     },
+     "S3Key": "a37d3ef54c18e7738fe5dc008504591bd3b1f14c6a09ee91eac6d55f7ca5ba5f.zip"
+    },
+    "Handler": "Handler",
+    "Role": {
+     "Fn::GetAtt": [
+      "JavaSnapstartLambdaServiceRole50CD4832",
+      "Arn"
+     ]
+    },
+    "Runtime": "java11",
+    "SnapStart": {
+     "ApplyOn": "PublishedVersions"
+    }
+   },
+   "DependsOn": [
+    "JavaSnapstartLambdaServiceRole50CD4832"
+   ]
+  },
+  "Python312SnapstartLambdaServiceRole16F303C0": {
+   "Type": "AWS::IAM::Role",
+   "Properties": {
+    "AssumeRolePolicyDocument": {
+     "Statement": [
+      {
+       "Action": "sts:AssumeRole",
+       "Effect": "Allow",
+       "Principal": {
+        "Service": "lambda.amazonaws.com"
+       }
+      }
+     ],
+     "Version": "2012-10-17"
+    },
+    "ManagedPolicyArns": [
+     {
+      "Fn::Join": [
+       "",
+       [
+        "arn:",
+        {
+         "Ref": "AWS::Partition"
+        },
+        ":iam::aws:policy/service-role/AWSLambdaBasicExecutionRole"
+       ]
+      ]
+     }
+    ]
+   }
+  },
+  "Python312SnapstartLambdaB0C15475": {
+   "Type": "AWS::Lambda::Function",
+   "Properties": {
+    "Code": {
+     "ZipFile": "pass"
+    },
+    "Handler": "Handler",
+    "Role": {
+     "Fn::GetAtt": [
+      "Python312SnapstartLambdaServiceRole16F303C0",
+      "Arn"
+     ]
+    },
+    "Runtime": "python3.12",
+    "SnapStart": {
+     "ApplyOn": "PublishedVersions"
+    }
+   },
+   "DependsOn": [
+    "Python312SnapstartLambdaServiceRole16F303C0"
+   ]
+  },
+  "Python313SnapstartLambdaServiceRoleC3989FBF": {
+   "Type": "AWS::IAM::Role",
+   "Properties": {
+    "AssumeRolePolicyDocument": {
+     "Statement": [
+      {
+       "Action": "sts:AssumeRole",
+       "Effect": "Allow",
+       "Principal": {
+        "Service": "lambda.amazonaws.com"
+       }
+      }
+     ],
+     "Version": "2012-10-17"
+    },
+    "ManagedPolicyArns": [
+     {
+      "Fn::Join": [
+       "",
+       [
+        "arn:",
+        {
+         "Ref": "AWS::Partition"
+        },
+        ":iam::aws:policy/service-role/AWSLambdaBasicExecutionRole"
+       ]
+      ]
+     }
+    ]
+   }
+  },
+  "Python313SnapstartLambda008EE7A4": {
+   "Type": "AWS::Lambda::Function",
+   "Properties": {
+    "Code": {
+     "ZipFile": "pass"
+    },
+    "Handler": "Handler",
+    "Role": {
+     "Fn::GetAtt": [
+      "Python313SnapstartLambdaServiceRoleC3989FBF",
+      "Arn"
+     ]
+    },
+    "Runtime": "python3.13",
+    "SnapStart": {
+     "ApplyOn": "PublishedVersions"
+    }
+   },
+   "DependsOn": [
+    "Python313SnapstartLambdaServiceRoleC3989FBF"
+   ]
+  },
+  "DotnetSnapstartLambdaServiceRole222A9244": {
+   "Type": "AWS::IAM::Role",
+   "Properties": {
+    "AssumeRolePolicyDocument": {
+     "Statement": [
+      {
+       "Action": "sts:AssumeRole",
+       "Effect": "Allow",
+       "Principal": {
+        "Service": "lambda.amazonaws.com"
+       }
+      }
+     ],
+     "Version": "2012-10-17"
+    },
+    "ManagedPolicyArns": [
+     {
+      "Fn::Join": [
+       "",
+       [
+        "arn:",
+        {
+         "Ref": "AWS::Partition"
+        },
+        ":iam::aws:policy/service-role/AWSLambdaBasicExecutionRole"
+       ]
+      ]
+     }
+    ]
+   }
+  },
+  "DotnetSnapstartLambda7DAEB52E": {
+   "Type": "AWS::Lambda::Function",
+   "Properties": {
+    "Code": {
+     "S3Bucket": {
+      "Fn::Sub": "cdk-hnb659fds-assets-${AWS::AccountId}-${AWS::Region}"
+     },
+     "S3Key": "a328343cb12aa16bf2c12bfa98f28509923cf8a0e9771cccbbe967d9e15c08f6.zip"
+    },
+    "Handler": "Handler",
+    "Role": {
+     "Fn::GetAtt": [
+      "DotnetSnapstartLambdaServiceRole222A9244",
+      "Arn"
+     ]
+    },
+    "Runtime": "dotnet8",
+    "SnapStart": {
+     "ApplyOn": "PublishedVersions"
+    }
+   },
+   "DependsOn": [
+    "DotnetSnapstartLambdaServiceRole222A9244"
+   ]
+  }
+ },
+ "Parameters": {
+  "BootstrapVersion": {
+   "Type": "AWS::SSM::Parameter::Value<String>",
+   "Default": "/cdk-bootstrap/hnb659fds/version",
+   "Description": "Version of the CDK Bootstrap resources in this environment, automatically retrieved from SSM Parameter Store. [cdk:skip]"
+  }
+ },
+ "Rules": {
+  "CheckBootstrapVersion": {
+   "Assertions": [
+    {
+     "Assert": {
+      "Fn::Not": [
+       {
+        "Fn::Contains": [
+         [
+          "1",
+          "2",
+          "3",
+          "4",
+          "5"
+         ],
+         {
+          "Ref": "BootstrapVersion"
+         }
+        ]
+       }
+      ]
+     },
+     "AssertDescription": "CDK bootstrap stack version 6 required. Please run 'cdk bootstrap' with a recent version of the CDK CLI."
+    }
+   ]
+  }
+ }
+}