[task] roominfo 생성 (modal)

### ISSUE
- Group: `client`
-Type: `feature`,
-Detail: 모각코 생성하기 버튼 누르면

### TODO
1. [ ] 방 제목, 시간, 인원, 방 정보 입력 창
2. [ ] 생성 정보 클릭시 db에 저장 요청 및 방금 본인이 생성한 모각코 페이지로 이동

### Estimated time
>Pick one

### `3h`

Start in the client flow for the “모각코 생성하기” button and locate the modal entry point. Trace how the room title, time, participant count, and room information are collected, then follow the database request and navigation to the newly created room page. Done means the form submits the room data and opens that room for its creator.

Written by the indexing model from the issue text.