(aws-stepfunctions-tasks): `DynamoPutItem` doesn't handle `IntegrationPattern.WAIT_FOR_TASK_TOKEN` correctly

### Describe the bug

I am using AWS StepFunctions and want to have a state, that puts something into a DynamoDB table. I need to wait for the task token. There for I am setting `integrationPattern: IntegrationPattern.WAIT_FOR_TASK_TOKEN`. However, this will not result in `arn:aws:states:::aws-sdk:dynamodb:putItem.waitForTaskToken`, `.waitForTaskToken` is missing in the deployed version. It works when using `CallAwsService` though.

Maybe related to https://github.com/aws/aws-cdk/issues/31474.

### Regression Issue

- [ ] Select this option if this issue appears to be a regression.

### Last Known Working CDK Version

_No response_

### Expected Behavior

`":states:::dynamodb:putItem.waitForTaskToken\"`

Full expectation:

```json
// ...
"Type": "AWS::StepFunctions::StateMachine",
"Properties": {
"DefinitionString": {
"Fn::Join": [
"",
[
"{\"StartAt\":\"DynamoPutItemState\",\"States\":{\"DynamoPutItemState\":{\"End\":true,\"Type\":\"Task\",\"ResultPath\":\"$.Put\",\"Resource\":\"arn:",
{
"Ref": "AWS::Partition"
},
":states:::dynamodb:putItem.waitForTaskToken\",\"Parameters\":{\"Item\":{\"pk\":{\"S\":\"foobar\"}},\"TableName\":\"",
{
"Ref": "MainConstructAppBackendConstructCheckStepFunctionConstructTable08775DAD"
},
"\"}}}}"
]
]
},
// ...
```

### Current Behavior

`":states:::dynamodb:putItem\"`

Full current:

```json
// ...
"Type": "AWS::StepFunctions::StateMachine",
"Properties": {
"DefinitionString": {
"Fn::Join": [
"",
[
"{\"StartAt\":\"DynamoPutItemState\",\"States\":{\"DynamoPutItemState\":{\"End\":true,\"Type\":\"Task\",\"ResultPath\":\"$.Put\",\"Resource\":\"arn:",
{
"Ref": "AWS::Partition"
},
":states:::dynamodb:putItem\",\"Parameters\":{\"Item\":{\"pk\":{\"S\":\"foobar\"}},\"TableName\":\"",
{
"Ref": "MainConstructAppBackendConstructCheckStepFunctionConstructTable08775DAD"
},
"\"}}}}"
]
]
},
// ...
```

### Reproduction Steps

```ts
new StateMachine(this, 'StateMachine', {
definitionBody: DefinitionBody.fromChainable(new DynamoPutItem(this, 'DynamoPutItemState', {
table: new Table(this, 'Table', { partitionKey: { name: 'pk', type: AttributeType.STRING } }),
resultPath: '$.Put',
integrationPattern: IntegrationPattern.WAIT_FOR_TASK_TOKEN,
item: {
pk: DynamoAttributeValue.fromString('foobar'),
},
})),
});
```

### Possible Solution

_No response_

### Additional Information/Context

_No response_

### CDK CLI Version

2.126.0 (build fb74c41)

### Framework Version

2.126.0

### Node.js Version

v20.17.0

### OS

macOS 15.3.1 (24D70)

### Language

TypeScript

### Language Version

5.2.2

### Other information

_No response_

Start with the DynamoPutItem implementation and compare its integration-pattern handling with CallAwsService, using the supplied TypeScript reproduction to synthesize the state machine. Done means the generated DefinitionString includes the .waitForTaskToken suffix for WAIT_FOR_TASK_TOKEN, with coverage for the reported behavior.

Written by the indexing model from the issue text.