Hi Baljit,
Thanks for the question here int he community I know how annoying it is to have a Surface Studio 2 screen go black when touch and external monitors work.
Sadly Surface Studio 1 screens don't work on Surface Studio 2s. They're just built differently. Swapping them could mess things up worse.
To fix this get replacement parts made just for Surface Studio 2. Check out Microsoft-approved repair places or iFixit for parts that work and keep your warranty good. If you still have warranty contact Microsoft Support for repairs here is the link to check your warranty Check your Microsoft warranty and create service orders.
Are you fixing it yourself or do you want a pro to do it?
I hope this answer is helpful, if you have further questions, feel free to reply back
Regards,
Marcelo