Languages: English (English )Spanish (Español )German (Deutsch )
Timezone: America/Lima (GMT-05:00)
It seems that running the options at WPML > Support > Troubleshooting > Clean up solved the issue on the staging.
Please first test by only running the first option for "Synchronizing taxonomies" for "Posts". If this alone will not solve the issue please run further options until "Fix post type assignment for translations".
Only do not run "Reset language" in this section, please.
It seems to have solved the issue on the live site 🙂
As a side question, do you know if i should do something similar in the troubleshooting section regarding the top menu (with the 2 green buttons), that keep on having the french erased and replaced by english ?