feat(rds): implement setting parameter group name (#29965)

### Reason for this change

I'd like to be able to set RDS parameter group names using CDK.

### Description of changes

I've added a new field `name` to `ParameterGroupProps` used to populate `dbClusterParameterGroupName` and `dbParameterGroupName` where appropriate - AFAICS this couldn't be done at this level previously?

### Description of how you validated changes

I've altered a couple of unit tests and an integration test.  However I'm unable to run the integration test as the postgres version in the existing snapshot is deprecated (I believe this needs to be deployed before the new snapshot?) which blocks me from deploying.

### 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*

Author: LaurenceWarne

Diff for: packages/@aws-cdk-testing/framework-integ/test/aws-rds/test/integ.instance-with-parameter-group.js.snapshot/aws-cdk-rds-instance-with-rds-parameter-group.assets.json

@@ -394,8 +394,9 @@
   "ParameterGroup5E32DECB": {
    "Type": "AWS::RDS::DBParameterGroup",
    "Properties": {
+    "DBParameterGroupName": "name",
     "Description": "desc",
-    "Family": "postgres15",
+    "Family": "postgres16",
     "Parameters": {}
    },
    "UpdateReplacePolicy": "Delete",
@@ -481,7 +482,7 @@
     },
     "EnableIAMDatabaseAuthentication": true,
     "Engine": "postgres",
-    "EngineVersion": "15.2",
+    "EngineVersion": "16.2",
     "MasterUserPassword": {
      "Fn::Join": [
       "",

Diff for: packages/@aws-cdk-testing/framework-integ/test/aws-rds/test/integ.instance-with-parameter-group.js.snapshot/aws-cdk-rds-instance-with-rds-parameter-group.template.json

@@ -11,13 +11,14 @@ const stack = new cdk.Stack(app, 'aws-cdk-rds-instance-with-rds-parameter-group'
 const vpc = new ec2.Vpc(stack, 'VPC', { maxAzs: 2, restrictDefaultSecurityGroup: false });
 
 const parameterGroup = new rds.ParameterGroup(stack, 'ParameterGroup', {
-  engine: rds.DatabaseInstanceEngine.postgres({ version: rds.PostgresEngineVersion.VER_15_2 }),
+  engine: rds.DatabaseInstanceEngine.postgres({ version: rds.PostgresEngineVersion.VER_16_2 }),
   description: 'desc',
   removalPolicy: cdk.RemovalPolicy.DESTROY,
+  name: 'name',
 });
 
 new rds.DatabaseInstance(stack, 'Instance', {
-  engine: rds.DatabaseInstanceEngine.postgres({ version: rds.PostgresEngineVersion.VER_15_2 }),
+  engine: rds.DatabaseInstanceEngine.postgres({ version: rds.PostgresEngineVersion.VER_16_2 }),
   vpc,
   multiAz: false,
   publiclyAccessible: true,

Diff for: packages/@aws-cdk-testing/framework-integ/test/aws-rds/test/integ.instance-with-parameter-group.js.snapshot/manifest.json

@@ -1078,6 +1078,7 @@ const parameterGroup = new rds.ParameterGroup(this, 'ParameterGroup', {
   engine: rds.DatabaseInstanceEngine.sqlServerEe({
     version: rds.SqlServerEngineVersion.VER_11,
   }),
+  name: 'my-parameter-group',
   parameters: {
     locks: '100',
   },

Diff for: packages/@aws-cdk-testing/framework-integ/test/aws-rds/test/integ.instance-with-parameter-group.js.snapshot/tree.json

@@ -70,6 +70,13 @@ export interface ParameterGroupProps {
    */
   readonly engine: IEngine;
 
+  /**
+   * The name of this parameter group.
+   *
+   * @default - CloudFormation-generated name
+   */
+  readonly name?: string;
+
   /**
    * Description for this parameter group
    *
@@ -126,6 +133,7 @@ export class ParameterGroup extends Resource implements IParameterGroup {
   private readonly family: string;
   private readonly removalPolicy?: RemovalPolicy;
   private readonly description?: string;
+  private readonly name?: string;
 
   private clusterCfnGroup?: CfnDBClusterParameterGroup;
   private instanceCfnGroup?: CfnDBParameterGroup;
@@ -139,6 +147,7 @@ export class ParameterGroup extends Resource implements IParameterGroup {
     }
     this.family = family;
     this.description = props.description;
+    this.name = props.name;
     this.parameters = props.parameters ?? {};
     this.removalPolicy = props.removalPolicy;
   }
@@ -149,6 +158,7 @@ export class ParameterGroup extends Resource implements IParameterGroup {
       this.clusterCfnGroup = new CfnDBClusterParameterGroup(this, id, {
         description: this.description || `Cluster parameter group for ${this.family}`,
         family: this.family,
+        dbClusterParameterGroupName: this.name,
         parameters: Lazy.any({ produce: () => this.parameters }),
       });
     }
@@ -166,6 +176,7 @@ export class ParameterGroup extends Resource implements IParameterGroup {
       this.instanceCfnGroup = new CfnDBParameterGroup(this, id, {
         description: this.description || `Parameter group for ${this.family}`,
         family: this.family,
+        dbParameterGroupName: this.name,
         parameters: Lazy.any({ produce: () => this.parameters }),
       });
     }

Diff for: packages/@aws-cdk-testing/framework-integ/test/aws-rds/test/integ.instance-with-parameter-group.ts

@@ -29,6 +29,7 @@ describe('parameter group', () => {
     const parameterGroup = new ParameterGroup(stack, 'Params', {
       engine: DatabaseClusterEngine.AURORA,
       description: 'desc',
+      name: 'name',
       parameters: {
         key: 'value',
       },
@@ -37,6 +38,7 @@ describe('parameter group', () => {
 
     // THEN
     Template.fromStack(stack).hasResourceProperties('AWS::RDS::DBParameterGroup', {
+      DBParameterGroupName: 'name',
       Description: 'desc',
       Family: 'aurora5.6',
       Parameters: {
@@ -53,6 +55,7 @@ describe('parameter group', () => {
     const parameterGroup = new ParameterGroup(stack, 'Params', {
       engine: DatabaseClusterEngine.AURORA,
       description: 'desc',
+      name: 'name',
       parameters: {
         key: 'value',
       },
@@ -61,6 +64,7 @@ describe('parameter group', () => {
 
     // THEN
     Template.fromStack(stack).hasResourceProperties('AWS::RDS::DBClusterParameterGroup', {
+      DBClusterParameterGroupName: 'name',
       Description: 'desc',
       Family: 'aurora5.6',
       Parameters: {