Try first if it helps to turn off the delay for revealing the tag cloud. In the Gutenberg block you find a setting under Tabs or Panels where you can turn off the delay. In the shortcode you add the parameter delay=0.
Example for a shortcode
[tag_groups_cloud ... delay=0]
Please try the following:
- Open the Console in your browser, reload the page and check for error messages that give a hint about where the error was caused.
- Disable other plugins and check, if the tag cloud now renders correctly. If yes, enable the plugins again one-by-one and keep reloading the page in order to find out where it breaks.