Update pull-requests.json from main (#39545)

This commit updates the pull-requests.json file for the BK PR Bot from
main. It's not consulted in any way, but it reduces conflicts with
backports that include it.

.buildkite/pull-requests.json

@@ -16,22 +16,6 @@
             "skip_ci_on_only_changed": [ ],
             "always_require_ci_on_changed": [ ]
         },
-        {
-            "enabled": true,
-            "pipelineSlug": "beats-packetbeat",
-            "allow_org_users": true,
-            "allowed_repo_permissions": ["admin", "write"],
-            "allowed_list": [ ],
-            "set_commit_status": true,
-            "build_on_commit": true,
-            "build_on_comment": true,
-            "trigger_comment_regex": "^/test packetbeat$",
-            "always_trigger_comment_regex": "^/test packetbeat$",
-            "skip_ci_labels": [  ],
-            "skip_target_branches": [ ],
-            "skip_ci_on_only_changed": [ ],
-            "always_require_ci_on_changed": ["^packetbeat/.*", ".buildkite/packetbeat/.*", "^go.mod", "^pytest.ini", "^dev-tools/.*", "^libbeat/.*", "^testing/.*"]
-        },
         {
             "enabled": true,
             "pipelineSlug": "beats-xpack-elastic-agent",