timers: reduce usage of public util

Refs: nodejs#26546

PR-URL: nodejs#26583
Reviewed-By: Anna Henningsen <anna@addaleax.net>

lib/timers.js

@@ -39,8 +39,11 @@ const {
   initAsyncResource,
   validateTimerDuration
 } = require('internal/timers');
-const internalUtil = require('internal/util');
-const util = require('util');
+const {
+  promisify: { custom: customPromisify },
+  deprecate
+} = require('internal/util');
+const { inspect } = require('internal/util/inspect');
 const { ERR_INVALID_CALLBACK } = require('internal/errors').codes;
 
 let debuglog;
@@ -249,8 +252,8 @@ function TimersList(expiry, msecs) {
 }
 
 // Make sure the linked list only shows the minimal necessary information.
-TimersList.prototype[util.inspect.custom] = function(_, options) {
-  return util.inspect(this, {
+TimersList.prototype[inspect.custom] = function(_, options) {
+  return inspect(this, {
     ...options,
     // Only inspect one level.
     depth: 0,
@@ -457,7 +460,7 @@ function setTimeout(callback, after, arg1, arg2, arg3) {
   return timeout;
 }
 
-setTimeout[internalUtil.promisify.custom] = function(after, value) {
+setTimeout[customPromisify] = function(after, value) {
   const args = value !== undefined ? [value] : value;
   return new Promise((resolve) => {
     active(new Timeout(resolve, after, args, false));
@@ -719,7 +722,7 @@ function setImmediate(callback, arg1, arg2, arg3) {
   return new Immediate(callback, args);
 }
 
-setImmediate[internalUtil.promisify.custom] = function(value) {
+setImmediate[customPromisify] = function(value) {
   return new Promise((resolve) => new Immediate(resolve, [value]));
 };
 
@@ -752,11 +755,11 @@ module.exports = {
   clearImmediate,
   setInterval,
   clearInterval,
-  unenroll: util.deprecate(
+  unenroll: deprecate(
     unenroll,
     'timers.unenroll() is deprecated. Please use clearTimeout instead.',
     'DEP0096'),
-  enroll: util.deprecate(
+  enroll: deprecate(
     enroll,
     'timers.enroll() is deprecated. Please use setTimeout instead.',
     'DEP0095')