Docs: Correct some typos in docblocks and inline comments.

This corrects several typos in documentation, including:
- "imput" -> "input"
- "proessing" -> "processing"
- "instantating" -> "instantiating"
- "filtersing" -> "filtering"
- "officaly" -> "officially"

Follow-up to [8852], [25307], [26191], [37488], [54416].

Props benniledl, mukesh27, jayadevankbh, Presskopp.
Fixes #60069. See #59651.
Built from https://develop.svn.wordpress.org/trunk@57263


git-svn-id: http://core.svn.wordpress.org/trunk@56769 1a063a9b-81f0-0310-95a4-ce76da25c4cd

wp-admin/includes/deprecated.php

@@ -1152,7 +1152,7 @@ function wp_nav_menu_locations_meta_box() {
 /**
  * This was once used to kick-off the Core Updater.
  *
- * Deprecated in favor of instantating a Core_Upgrader instance directly,
+ * Deprecated in favor of instantiating a Core_Upgrader instance directly,
  * and calling the 'upgrade' method.
  *
  * @since 2.7.0
@@ -1174,7 +1174,7 @@ function wp_update_core($current, $feedback = '') {
 /**
  * This was once used to kick-off the Plugin Updater.
  *
- * Deprecated in favor of instantating a Plugin_Upgrader instance directly,
+ * Deprecated in favor of instantiating a Plugin_Upgrader instance directly,
  * and calling the 'upgrade' method.
  * Unused since 2.8.0.
  *