Set command integration types

[tomosfps]

This pull request includes several changes to the packages/api and packages/handler modules, focusing on improving the flexibility of the media update process and enhancing the user interaction commands. The most important changes include making fields optional in the UpdateMediaMutation and related structs, adding hidden input options to various commands, and introducing new interaction commands.

Changes to packages/api:

• Made fields in UpdateMediaMutation and MutationMediaRequest optional to allow partial updates. (packages/api/src/entities/update_entry.rs) [1] [2]
• Modified the format method in UpdateMediaMutation to handle optional fields and provide default values. (packages/api/src/entities/update_entry.rs)
• Updated the query method to include only provided fields in the request variables. (packages/api/src/entities/update_entry.rs)

Changes to packages/handler:

• Added a new infoAdd button interaction for providing invite and support links. (packages/handler/src/interactions/buttons/infoAdd.ts)
• Introduced new invite command to generate bot invite links. (packages/handler/src/interactions/commands/invite.ts)
• Added optional hidden input options to various commands (e.g., anime, character, manga, recommend, staff, studio) to allow ephemeral responses. (packages/handler/src/interactions/commands/anime.ts, packages/handler/src/interactions/commands/character.ts, packages/handler/src/interactions/commands/manga.ts, packages/handler/src/interactions/commands/recommend.ts, packages/handler/src/interactions/commands/staff.ts, packages/handler/src/interactions/commands/studio.ts) [1] [2] [3] [4] [5] [6]
• Updated the info command to include new buttons for inviting the bot and joining the support server. (packages/handler/src/interactions/commands/info.ts) [1] [2]