1. Go to WP Dashboard “WPML → String Translation”
At the bottom of the page there is a block where you can enable the option “Track where strings appear on the site“.
2. Open the front-end page of the site, where you can see the Groovy Menu and the logo that you want to display in other languages.
Please refresh this page.
Go back to WPML settings and uncheck the option “Track where strings appear on the site“, as it is very heavy on the site.
3. Now in the list for translation of strings, strings with URL for Logo will appear in domain: groovy-menu. They are marked with a name like “Global settings - Logo image file URL (id: XXXX)“
Now you have the ability to assign different LOGO URLs for different languages in the WPML plugin