### Is there an existing issue for this?

- [X] I have searched the existing issues

### Current Behavior

IaC = CDK.

Attempting to connect an API-GW endpoint directly to EventBridge.

```
      const awsIntegration = new apigateway.AwsIntegration({
      service: 'events',
      action: 'PutEvents',
      integrationHttpMethod: 'POST',
      options: {
        credentialsRole: role,
        requestTemplates: {
          'application/json': requestTemplate,
        },
        passthroughBehavior: apigateway.PassthroughBehavior.NEVER,
        integrationResponses: [
          successResponse,
          serverErrorResponse,
          clientErrorResponse,
        ],
      },
    });
```

Receiving response:

```
    {
      statusCode: 400,
      data: {
        Type: 'User',
        message: `Error invoking integration for API Gateway ID '1z7ky5zzcb': API Gateway AWS integration action URI "arn:aws:apigateway:ap-southeast-2:events:action/PutEvents", method "GET" not yet implemented`,
        __type: 'InvalidRequest'
      }
    }
```

Similar to bug reported:

* https://github.com/localstack/localstack/issues/5508

### Expected Behavior

* 200 response
* Event created in relevant Eventbus

### How are you starting LocalStack?

With a docker-compose file

### Steps To Reproduce

#### How are you starting localstack (e.g., `bin/localstack` command, arguments, or `docker-compose.yml`)

docker run localstack/localstack

#### Client commands (e.g., AWS SDK code snippet, or sequence of "awslocal" commands)

Calling the API endpoint using axios from jest tests.

### Environment

```markdown
- OS: MacOS
- LocalStack: latest
```


### Anything else?

_No response_
lst3 = [value for value in lst1 if value in lst2]
    return lst3
def filter_event_based_on_event_format(
    self, rule_name: str, event_bus_name: str, event: Dict[str, Any]
):
    def filter_event(event_pattern_filter: Dict[str, Any], event: Dict[str, Any]):
        for key, value in event_pattern_filter.items():
            
            event_value = event.get(key.lower(), event.get(key))
            if event_value is None:
                return False
            
            if event_value and isinstance(event_value, dict):
                for key_a, value_a in event_value.items():
                    if key_a == "ip":
                        
                        continue
                    if isinstance(value.get(key_a), (int, str)):
                        if value_a != value.get(key_a):
                            return False
                    if isinstance(value.get(key_a), list) and value_a not in value.get(key_a):
                        if not handle_prefix_filtering(value.get(key_a), value_a):
                            return False
            
            if isinstance(value, list):
                if identify_content_base_parameter_in_pattern(value):
                    if not filter_event_with_content_base_parameter(value, event_value):
                        return False
                else: