diff --git a/composer.json b/composer.json
index 49de0c76..8960307f 100755
--- a/composer.json
+++ b/composer.json
@@ -37,16 +37,8 @@
   },
   "repositories": [
     {
-      "type": "package",
-      "package": {
-        "name": "moodlehq/moodle-local_ci",
-        "version": "1.0.17",
-        "source": {
-          "url": "https://github.com/moodlehq/moodle-local_ci.git",
-          "type": "git",
-          "reference": "v1.0.17"
-        }
-      }
+      "type": "vcs",
+      "url": "https://github.com/moodlehq/moodle-local_ci.git"
     },
     {
       "type": "package",
@@ -64,7 +56,7 @@
   "require": {
     "php": ">=7.0.8",
     "moodlehq/moodle-cs": "^3.3.3",
-    "moodlehq/moodle-local_ci": "^1.0.17",
+    "moodlehq/moodle-local_ci": "^1.0.21",
     "moodlehq/moodle-local_moodlecheck": "^1.1.4",
     "sebastian/phpcpd": "^3.0",
     "sebastian/version": "^2.0.1",
@@ -114,7 +106,6 @@
     "post-update-cmd": "@local-ci-install",
     "post-create-project-cmd": "@local-ci-install",
     "local-ci-install": [
-      "@composer update --prefer-dist --optimize-autoloader --working-dir=vendor/moodlehq/moodle-local_ci",
       "cd vendor/moodlehq/moodle-local_ci && npm install --no-progress"
     ]
   }
diff --git a/composer.lock b/composer.lock
index 4b535d45..02e750dd 100644
--- a/composer.lock
+++ b/composer.lock
@@ -4,7 +4,7 @@
         "Read more about it at https://getcomposer.org/doc/01-basic-usage.md#installing-dependencies",
         "This file is @generated automatically"
     ],
-    "content-hash": "da1b9b2de12008e1037cba49d79d40ff",
+    "content-hash": "98f6872ebc9dc2daed9e92cf72355d43",
     "packages": [
         {
             "name": "composer/ca-bundle",
@@ -406,13 +406,41 @@
         },
         {
             "name": "moodlehq/moodle-local_ci",
-            "version": "1.0.17",
+            "version": "v1.0.21",
             "source": {
                 "type": "git",
                 "url": "https://github.com/moodlehq/moodle-local_ci.git",
-                "reference": "v1.0.17"
+                "reference": "5a901554521deb90fb6a2c8bdbcd783e060306ac"
             },
-            "type": "library"
+            "dist": {
+                "type": "zip",
+                "url": "https://api.github.com/repos/moodlehq/moodle-local_ci/zipball/5a901554521deb90fb6a2c8bdbcd783e060306ac",
+                "reference": "5a901554521deb90fb6a2c8bdbcd783e060306ac",
+                "shasum": ""
+            },
+            "require": {
+                "moodlehq/moodle-cs": "^3.3.3",
+                "mustache/mustache": "^2.14.1",
+                "phpcompatibility/php-compatibility": "dev-develop#70e4ca24"
+            },
+            "type": "library",
+            "license": [
+                "GPL-3.0-or-later"
+            ],
+            "description": "Stuff run by Moodle CI integration servers.",
+            "keywords": [
+                "automations",
+                "ci",
+                "integration",
+                "jenkins",
+                "jira",
+                "moodle"
+            ],
+            "support": {
+                "source": "https://github.com/moodlehq/moodle-local_ci/tree/v1.0.21",
+                "issues": "https://github.com/moodlehq/moodle-local_ci/issues"
+            },
+            "time": "2023-09-02T14:37:53+00:00"
         },
         {
             "name": "moodlehq/moodle-local_moodlecheck",
@@ -424,6 +452,56 @@
             },
             "type": "library"
         },
+        {
+            "name": "mustache/mustache",
+            "version": "v2.14.2",
+            "source": {
+                "type": "git",
+                "url": "https://github.com/bobthecow/mustache.php.git",
+                "reference": "e62b7c3849d22ec55f3ec425507bf7968193a6cb"
+            },
+            "dist": {
+                "type": "zip",
+                "url": "https://api.github.com/repos/bobthecow/mustache.php/zipball/e62b7c3849d22ec55f3ec425507bf7968193a6cb",
+                "reference": "e62b7c3849d22ec55f3ec425507bf7968193a6cb",
+                "shasum": ""
+            },
+            "require": {
+                "php": ">=5.2.4"
+            },
+            "require-dev": {
+                "friendsofphp/php-cs-fixer": "~1.11",
+                "phpunit/phpunit": "~3.7|~4.0|~5.0"
+            },
+            "type": "library",
+            "autoload": {
+                "psr-0": {
+                    "Mustache": "src/"
+                }
+            },
+            "notification-url": "https://packagist.org/downloads/",
+            "license": [
+                "MIT"
+            ],
+            "authors": [
+                {
+                    "name": "Justin Hileman",
+                    "email": "justin@justinhileman.info",
+                    "homepage": "http://justinhileman.com"
+                }
+            ],
+            "description": "A Mustache implementation in PHP.",
+            "homepage": "https://github.com/bobthecow/mustache.php",
+            "keywords": [
+                "mustache",
+                "templating"
+            ],
+            "support": {
+                "issues": "https://github.com/bobthecow/mustache.php/issues",
+                "source": "https://github.com/bobthecow/mustache.php/tree/v2.14.2"
+            },
+            "time": "2022-08-23T13:07:01+00:00"
+        },
         {
             "name": "nikic/php-parser",
             "version": "v4.15.4",
@@ -3946,5 +4024,5 @@
     "platform-overrides": {
         "php": "7.0.8"
     },
-    "plugin-api-version": "2.3.0"
+    "plugin-api-version": "2.6.0"
 }
diff --git a/docs/CHANGELOG.md b/docs/CHANGELOG.md
index 1ab0b56f..f85bbe5f 100644
--- a/docs/CHANGELOG.md
+++ b/docs/CHANGELOG.md
@@ -9,6 +9,9 @@ This project adheres to [Semantic Versioning](http://semver.org/).
 The format of this change log follows the advice given at [Keep a CHANGELOG](http://keepachangelog.com).
 
 ## [Unreleased]
+### Changed
+- Modified `moodle-local_ci` composer dependencies and manage them normally, removing some ancient bits that have [stopped working with Composer 2.6.0 and up](https://github.com/composer/composer/issues/11613).
+- Updated project dependencies to current [moodle-local_ci](https://github.com/moodlehq/moodle-local_ci) version.
 
 ## [3.4.12] - 2023-05-03
 ### Changed
diff --git a/tests/FileUpdatesTest.php b/tests/FileUpdatesTest.php
index 1556ea91..218f1743 100644
--- a/tests/FileUpdatesTest.php
+++ b/tests/FileUpdatesTest.php
@@ -17,7 +17,7 @@ class FileUpdatesTest extends \PHPUnit\Framework\TestCase
     public function testLocalCIPackageJSON()
     {
         $this->assertSame(
-            '060fde69ff2cc75b70fe560c998735b80e2e0942',
+            '4b37d67998dd06d21c89865641135ed435baf65d',
             sha1_file(__DIR__.'/../vendor/moodlehq/moodle-local_ci/package.json'),
             'Check changes to vendor/moodlehq/moodle-local_ci/package.json and update MustacheCommand, etc if necessary'
         );