Fix ApplicationExperiment#publish_to_database functionality

The expectation is that we can either call `record!` on an experiment to
have it automatically run `publish_to_database` as part of the normal
`publish` flow or we can explicitly call `publish_to_database` ourselves
to get the same behavior (without needing to first call `record!`).

This was broken by https://gitlab.com/gitlab-org/gitlab/-/merge_requests/67366

app/experiments/application_experiment.rb

@@ -13,7 +13,7 @@ class ApplicationExperiment < Gitlab::Experiment # rubocop:disable Gitlab/Namesp
     super
 
     publish_to_client
-    publish_to_database
+    publish_to_database if @record
   end
 
   def publish_to_client
@@ -25,7 +25,6 @@ class ApplicationExperiment < Gitlab::Experiment # rubocop:disable Gitlab/Namesp
   end
 
   def publish_to_database
-    return unless @record
     return unless should_track?
 
     # if the context contains a namespace, group, project, user, or actor

spec/experiments/application_experiment_spec.rb

@@ -80,6 +80,8 @@ RSpec.describe ApplicationExperiment, :experiment do
     end
 
     it "publishes to the database if we've opted for that" do
+      subject.record!
+
       expect(subject).to receive(:publish_to_database)
 
       subject.publish
@@ -121,6 +123,8 @@ RSpec.describe ApplicationExperiment, :experiment do
     end
 
     describe '#publish_to_database' do
+      using RSpec::Parameterized::TableSyntax
+
       shared_examples 'does not record to the database' do
         it 'does not create an experiment record' do
           expect { subject.publish_to_database }.not_to change(Experiment, :count)
@@ -131,13 +135,6 @@ RSpec.describe ApplicationExperiment, :experiment do
         end
       end
 
-      context 'when we explicitly request to record' do
-        using RSpec::Parameterized::TableSyntax
-
-        before do
-          subject.record!
-        end
-
       context 'when there is a usable subject' do
         let(:context) { { context_key => context_value } }
 
@@ -178,11 +175,6 @@ RSpec.describe ApplicationExperiment, :experiment do
         include_examples 'does not record to the database'
       end
     end
-
-      context 'when we have not explicitly requested to record' do
-        include_examples 'does not record to the database'
-      end
-    end
   end
 
   describe "#track", :snowplow do