Game concept
Co-Monarchy
The game also links it as Co-Monarchies, Co-Monarch, Co-Monarchs.
From the game's encyclopedia
Co-Monarchies are a type of Power Sharing that provides Feudal rulers with a way to select a Designated Heir even in earlier Eras.
The cost for this is entering into a permanent Power Sharing agreement with them, where they will have easier access to many of the same powers as an Entrenched Regent.
The game's text for patch 1.20.1.2. Words in blue are entries of the encyclopedia: hover one to read it, as in the game.
Co-Monarchy is an entry of Crusader Kings III's in-game encyclopedia. The game explains it: "Co-Monarchies are a type of Power Sharing that provides Feudal rulers with a way to select a Designated Heir even in earlier Eras." It is part of Co-Rulership. The game also links it as Co-Monarchies, Co-Monarch and Co-Monarchs. Patch 1.20.1.2, from game/common/game_concepts/00_game_concepts.txt and game/localization/english/game_concepts_l_english.yml.
Source: game/common/game_concepts/00_game_concepts.txt, game/localization/english/game_concepts_l_english.yml and the English localisation, Crusader Kings III 1.20.1.2.