refactor: convert routing manager to ts (#29406)

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

...eor/app/livechat/server/hooks/saveLastMessageToInquiry.ts

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

apps/meteor/app/livechat/server/methods/getRoutingConfig.ts

apps/meteor/app/livechat/server/methods/takeInquiry.ts

.../app/livechat/server/roomAccessValidator.compatibility.ts

...enterprise/server/hooks/handleNextAgentPreferredEvents.ts

...vechat-enterprise/server/lib/AutoTransferChatScheduler.ts

apps/meteor/ee/app/livechat-enterprise/server/lib/Helper.ts

.../app/livechat-enterprise/server/lib/LivechatEnterprise.ts

apps/meteor/lib/callbacks.ts

packages/core-typings/src/IInquiry.ts

packages/core-typings/src/omnichannel/routing.ts