Chore: Convert omni libs to typescript (#27205)

apps/meteor/app/livechat/imports/server/rest/inquiries.ts

apps/meteor/app/livechat/imports/server/rest/rooms.ts

apps/meteor/app/livechat/server/api/lib/agents.ts

apps/meteor/app/livechat/server/api/lib/appearance.ts

apps/meteor/app/livechat/server/api/lib/customFields.ts

apps/meteor/app/livechat/server/api/lib/inquiries.ts

apps/meteor/app/livechat/server/api/lib/integrations.ts

apps/meteor/app/livechat/server/api/lib/livechat.ts

apps/meteor/app/livechat/server/api/lib/queue.ts

apps/meteor/app/livechat/server/api/lib/rooms.ts

apps/meteor/app/livechat/server/api/lib/transfer.ts

apps/meteor/app/livechat/server/api/lib/triggers.ts

apps/meteor/app/livechat/server/api/v1/config.ts

apps/meteor/app/livechat/server/api/v1/room.ts

apps/meteor/app/models/server/models/LivechatDepartment.js

apps/meteor/server/lib/logger/Logger.ts

apps/meteor/server/models/raw/LivechatRooms.js

apps/meteor/tests/end-to-end/api/livechat/00-rooms.ts

packages/core-typings/src/ILivechatVisitor.ts

packages/model-typings/src/models/ILivechatRoomsModel.ts