Game concept · All Under Heaven
House Aspiration
The game also links it as House Aspirations, Aspiration, Aspirations.
From the game's encyclopedia
A House Aspiration represents the goals and methods of a Japanese House, and each provides different bonuses and opportunities.
The House Head can choose which Aspiration to pursue, and spend Prestige to further commit to it, gaining access to more powerful boons.
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.
House Aspiration is an entry of Crusader Kings III's in-game encyclopedia (All Under Heaven). The game explains it: "A House Aspiration represents the goals and methods of a Japanese House, and each provides different bonuses and opportunities." It is part of House Attribute. The game also links it as House Aspirations, Aspiration and Aspirations. Patch 1.20.1.2, from game/common/game_concepts/tgp_game_concepts.txt and game/localization/english/game_concepts_l_english.yml.
Source: game/common/game_concepts/tgp_game_concepts.txt, game/localization/english/game_concepts_l_english.yml and the English localisation, Crusader Kings III 1.20.1.2.