Updated dartdoc to 0.36.0 (#68641)

diff --git a/dev/bots/docs.sh b/dev/bots/docs.sh
index 21dbde1..a22faa2 100755
--- a/dev/bots/docs.sh
+++ b/dev/bots/docs.sh
@@ -20,7 +20,7 @@
     # Install and activate dartdoc.
     # NOTE: When updating to a new dartdoc version, please also update
     # `dartdoc_options.yaml` to include newly introduced error and warning types.
-    "$PUB" global activate dartdoc 0.35.0
+    "$PUB" global activate dartdoc 0.36.0
 
     # This script generates a unified doc set, and creates
     # a custom index.html, placing everything into dev/docs/doc.
diff --git a/dev/tools/dartdoc.dart b/dev/tools/dartdoc.dart
index f7768fc..a726bb4 100644
--- a/dev/tools/dartdoc.dart
+++ b/dev/tools/dartdoc.dart
@@ -139,7 +139,6 @@
   final List<String> dartdocArgs = <String>[
     ...dartdocBaseArgs,
     '--allow-tools',
-    '--enable-experiment=non-nullable',
     if (args['json'] as bool) '--json',
     if (args['validate-links'] as bool) '--validate-links' else '--no-validate-links',
     '--link-to-source-excludes', '../../bin/cache',