Hello 證壹王,
Thanks for reaching Microsoft Community. We totally understand how important this set up for you.
I'd like to inform you that only the new Microsoft 4K Wireless Display Adapter can display in 4K. However, for you to achieve this resolution as well, you need a monitor that supports 3840x2160 resolution or higher. With that being said, if you have a 2560x1440 monitor then I'm afraid 4K may not work.
If this answers your question, please let our Community know by marking this post as an answer. This helps others who may have the same concern as you.
Kind regards,
StevenK