[stable-2.5] Detect the socket path after starting the service. Fixes #47582 (#47626)

(cherry picked from commit 10e129e)

Co-authored-by: Matt Martz <matt@sivel.net>

test/integration/targets/setup_mysql_db/tasks/main.yml

@@ -82,3 +82,12 @@
 
 - name: start mysql_db service if not running
   service: name={{ mysql_service }} state=started
+
+- name: Detect socket path
+  shell: >
+          echo "show variables like 'socket'\G" | mysql | grep 'Value: ' | sed 's/[ ]\+Value: //'
+  register: _socket_path
+
+- name: Set socket path
+  set_fact:
+    mysql_socket: '{{ _socket_path["stdout"] }}'