Bump the k8s-io group across 1 directory with 3 updates

Bumps the k8s-io group with 2 updates in the /test/new-e2e directory: [k8s.io/api](https://github.com/kubernetes/api) and [k8s.io/client-go](https://github.com/kubernetes/client-go).


Updates `k8s.io/api` from 0.35.0-alpha.0 to 0.36.0-alpha.0
- [Commits](kubernetes/api@v0.35.0-alpha.0...v0.36.0-alpha.0)

Updates `k8s.io/apimachinery` from 0.35.0-alpha.0 to 0.36.0-alpha.0
- [Commits](kubernetes/apimachinery@v0.35.0-alpha.0...v0.36.0-alpha.0)

Updates `k8s.io/client-go` from 0.35.0-alpha.0 to 0.36.0-alpha.0
- [Changelog](https://github.com/kubernetes/client-go/blob/master/CHANGELOG.md)
- [Commits](kubernetes/client-go@v0.35.0-alpha.0...v0.36.0-alpha.0)

---
updated-dependencies:
- dependency-name: k8s.io/api
  dependency-version: 0.36.0-alpha.0
  dependency-type: direct:production
  update-type: version-update:semver-minor
  dependency-group: k8s-io
- dependency-name: k8s.io/apimachinery
  dependency-version: 0.36.0-alpha.0
  dependency-type: direct:production
  update-type: version-update:semver-minor
  dependency-group: k8s-io
- dependency-name: k8s.io/client-go
  dependency-version: 0.36.0-alpha.0
  dependency-type: direct:production
  update-type: version-update:semver-minor
  dependency-group: k8s-io
...

Signed-off-by: dependabot[bot] <support@github.com>

Author: dependabot[bot]

test/new-e2e/go.mod

@@ -41,10 +41,10 @@ require (
 	golang.org/x/term v0.38.0
 	gopkg.in/yaml.v2 v2.4.0
 	gopkg.in/zorkian/go-datadog-api.v2 v2.30.0
-	k8s.io/api v0.35.0-alpha.0
-	k8s.io/apimachinery v0.35.0-alpha.0
+	k8s.io/api v0.36.0-alpha.0
+	k8s.io/apimachinery v0.36.0-alpha.0
 	k8s.io/cli-runtime v0.34.1 // indirect
-	k8s.io/client-go v0.35.0-alpha.0
+	k8s.io/client-go v0.36.0-alpha.0
 	k8s.io/kubectl v0.34.1 // indirect
 )
 
@@ -205,10 +205,10 @@ require (
 	gopkg.in/yaml.v3 v3.0.1
 	k8s.io/component-base v0.35.0-alpha.0 // indirect
 	k8s.io/klog/v2 v2.130.1 // indirect
-	k8s.io/kube-openapi v0.0.0-20250710124328-f3f2b991d03b // indirect
+	k8s.io/kube-openapi v0.0.0-20250910181357-589584f1c912 // indirect
 	k8s.io/utils v0.0.0-20251002143259-bc988d571ff4 // indirect
 	lukechampine.com/frand v1.5.1 // indirect
-	sigs.k8s.io/json v0.0.0-20241014173422-cfa47c3a1cc8 // indirect
+	sigs.k8s.io/json v0.0.0-20250730193827-2d320260d730 // indirect
 	sigs.k8s.io/kustomize/api v0.20.1 // indirect
 	sigs.k8s.io/kustomize/kyaml v0.20.1 // indirect
 	sigs.k8s.io/yaml v1.6.0 // indirect
@@ -343,7 +343,7 @@ require (
 	go.yaml.in/yaml/v2 v2.4.3 // indirect
 	go.yaml.in/yaml/v3 v3.0.4 // indirect
 	golang.org/x/xerrors v0.0.0-20240903120638-7835f813f4da // indirect
-	gopkg.in/evanphx/json-patch.v4 v4.12.0 // indirect
+	gopkg.in/evanphx/json-patch.v4 v4.13.0 // indirect
 	gopkg.in/ini.v1 v1.67.0 // indirect
 	sigs.k8s.io/randfill v1.0.0 // indirect
 	sigs.k8s.io/structured-merge-diff/v6 v6.3.0 // indirect