core: replace zap with logtree

Test Plan: Effective refactor. Only tests that could be affected are e2e tests that should continue to run, because we still are logging into the qemu console, even if differently.

X-Origin-Diff: phab/D642
GitOrigin-RevId: 0f12b1bc985af08a3cc269569273184321763e4b
diff --git a/core/cmd/init/BUILD.bazel b/core/cmd/init/BUILD.bazel
index 8402367..a6d1ee2 100644
--- a/core/cmd/init/BUILD.bazel
+++ b/core/cmd/init/BUILD.bazel
@@ -25,13 +25,13 @@
         "//core/internal/localstorage/declarative:go_default_library",
         "//core/internal/network:go_default_library",
         "//core/internal/network/dns:go_default_library",
+        "//core/pkg/logtree:go_default_library",
         "//core/pkg/tpm:go_default_library",
         "//core/proto/api:go_default_library",
         "@org_golang_google_grpc//:go_default_library",
         "@org_golang_google_grpc//codes:go_default_library",
         "@org_golang_google_grpc//status:go_default_library",
         "@org_golang_x_sys//unix:go_default_library",
-        "@org_uber_go_zap//:go_default_library",
     ],
 )