Some more fixes for the docs :ref: disambiguation

The big one is that we needed to set plugin_type when we processed the by_support template.

Also added to list_of_CATEGORY_plugins page (which might not be used)
and corrected a place where I did module_name instead of name_module

docs/bin/plugin_formatter.py

@@ -560,6 +560,7 @@ These modules are currently shipped with Ansible, but will most likely be shippe
                          'modules': data['modules'],
                          'slug': data['slug'],
                          'module_info': plugin_info,
+                         'plugin_type': plugin_type
                          }
         text = templates['support_list'].render(template_data)
         write_data(text, output_dir, data['output'])