fix(eks): integ test faild with InvalidParameterException (#33767)

### Issue 

Part of #33673 (comment)


### Reason for this change


`yarn integ aws-eks/test/integ.eks-hybrid-nodes.js` is failed to complete.

Error1:
```zsh
❌  aws-cdk-eks-cluster-hybrid-nodes failed: _ToolkitError: The stack named aws-cdk-eks-cluster-hybrid-nodes failed creation, it may need to be manually deleted from the AWS console: ROLLBACK_COMPLETE: Received response status [FAILED] from custom resource. Message returned: AccessConfig AuthMode must be API_AND_CONFIG_MAP or API when remoteNetworkConfig is specified
```

Error2:
```zsh
❌  aws-cdk-eks-cluster-hybrid-nodes failed: _ToolkitError: The stack named aws-cdk-eks-cluster-hybrid-nodes failed creation, it may need to be manually deleted from the AWS console: ROLLBACK_COMPLETE: Received response status [FAILED] from custom resource. Message returned: Invalid remote node network: CIDR 10.0.0.0/16 overlaps with VPC CIDR 10.0.0.0/16
```

### Description of changes

- Setting `accessConfig` to resolve Error1
- Changing CIDR to resolve Error2



### Describe any new or updated permissions being added


NONE

### Description of how you validated changes


- Pass integration 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*

Author: wafuwafu13

packages/@aws-cdk-testing/framework-integ/test/aws-eks/test/integ.eks-hybrid-nodes.js.snapshot/asset.1c5a2ab1d1e53b0672a644454aab3dbb258ccd0079c92ad0e23b95b2c2079f70.zip

@@ -759,12 +759,14 @@
       "endpointPublicAccess": true,
       "endpointPrivateAccess": true
      },
-     "accessConfig": {},
+     "accessConfig": {
+      "authenticationMode": "API"
+     },
      "remoteNetworkConfig": {
       "remoteNodeNetworks": [
        {
         "cidrs": [
-         "10.0.0.0/16"
+         "172.16.0.0/16"
         ]
        }
       ],

packages/@aws-cdk-testing/framework-integ/test/aws-eks/test/integ.eks-hybrid-nodes.js.snapshot/asset.93d96d34e0d3cd20eb082652b91012b131bdc34fcf2bc16eb4170e04772fddb1.zip

@@ -10,21 +10,27 @@ class EksHybridNodesStack extends Stack {
     super(scope, id);
 
     // just need one nat gateway to simplify the test
-    const vpc = new ec2.Vpc(this, 'Vpc', { maxAzs: 2, natGateways: 1, restrictDefaultSecurityGroup: false });
+    const vpc = new ec2.Vpc(this, 'Vpc', {
+      maxAzs: 2,
+      natGateways: 1,
+      restrictDefaultSecurityGroup: false,
+      cidr: '10.0.0.0/16',
+    });
     new eks.Cluster(this, 'Cluster', {
       vpc,
       ...getClusterVersionConfig(this, eks.KubernetesVersion.V1_30),
       defaultCapacity: 0,
       remoteNodeNetworks: [
         {
-          cidrs: ['10.0.0.0/16'],
+          cidrs: ['172.16.0.0/16'],
         },
       ],
       remotePodNetworks: [
         {
           cidrs: ['192.168.0.0/16'],
         },
       ],
+      authenticationMode: eks.AuthenticationMode.API,
     });
   }
 }