test(procmgr): drop PAR Windows E2E from spawn-profiles PR

Agent-profile spawn needs dd-procmgr-service as LocalSystem to read the
agent password from LSA. Re-add the test in #54735 with the Wix change.

Author: jose-manuel-almaza

test/new-e2e/tests/agent-runtimes/procmgr/BUILD.bazel

@@ -3,7 +3,6 @@ load("//bazel/rules/go:dd_agent_go_test.bzl", "dd_agent_go_test")
 dd_agent_go_test(
     name = "procmgr_test",
     srcs = [
-        "par_procmgr_win_test.go",
         "procmgr_common_test.go",
         "procmgr_nix_test.go",
         "procmgr_win_helpers_test.go",
@@ -19,7 +18,6 @@ dd_agent_go_test(
         "//test/e2e-framework/testing/environments",
         "//test/e2e-framework/testing/provisioners/aws/host",
         "//test/e2e-framework/testing/utils/e2e/client/agentclient",
-        "//test/new-e2e/tests/privateactionrunner",
         "//test/new-e2e/tests/windows/common/agent",
         "@com_github_pulumi_pulumi_sdk_v3//go/pulumi",
         "@com_github_stretchr_testify//assert",