Yeah I’ve looked into wiki page for “false cognates” after leaving that reply, it would make sense to have a name for a situation where words from different languages sound similar and have similar definitions but are not etymologically related, but according to the wiki false cognates also can be words from the same language and I just don’t see the need to call them false cognates in this case, to my understanding they are called homonyms if they are identical in spelling and pronunciation but differ in etymology/definition, or homophones if they sound the same but are spelled differently. Vsauce made an awesome video on this topic a while ago.

False friends are for translators/interpreters, they are referred to as “translators’ false friends” because people make mistakes when making translations while having insufficient experience, like that example that you give with embarrassed and embarazada