I am sorry to learn that you are experiencing touch scree issues with your iPad Pro 11 inch screen model.
I believe that your iPad Pro may have contracted an serious, hardware and/or software related, intermittent, unresponsive touch screen issue/problem/bug/flaw.
This intermittent unresponsive screen issue appears to be a rather difficult issue to resolve as this issue has been going on for over two years, now!
See this Apple support link for some additional help, if needed.
https://support.apple.com/en-us/HT201406
This is a well known issue here in these iPad support communities.
This intermittent, unresponsive touch screen issue affects a continuing, growing minority of iPad Pro users/models across 3-4 years of iPad Pro models, as well as the new 2019 10.5 inch screen iPad Air 3, which is based from the 2017, 10.5 inch screen iPad Pro, as well as the newer 2020 iPad Air 4 models, which are based on the earlier 2018/2020 iPad Pro 11 inch screen models.
Take a look at these long standing, longer posts on the subject of this intermittent, unresponsive touch screen
issue, below.
Because this issue is either STILL only affecting a growing, but still very small minority of iPad Pro/iPad Air 3 users OR iPad Pro/iPad Air 3 users are simply NOT reporting this issue enough here in these official Apple iPad support communities OR simply NOT posting enough feedback to Apple about this intermittent, unresponsive iPad Pro touch screen issue to alert the proper responsible and cognizant Apple employees and teams and get them working on this iPad Pro touch screen problem.
iPad Pro touch screen intermittent unresp... - Apple Community
https://discussions.apple.com/thread/250085450
iPad Pro screen unresponsive - Apple Community
https://discussions.apple.com/thread/8658399
iPad Pro 12.9” not responding to touch in... - Apple Community
https://discussions.apple.com/thread/8396370
The best you can do is to continue to alert Apple to this growing issue and hammer the Apple iPad feedback pages mutiple times on this issue.
The only way to get Apple to, DIRECTLY, listen to you is to use their feedback portion of their website.
iPad Feedback
http://www.apple.com/feedback/ipad.html
Cognizant Apple employees read ALL feedback generated from all of the various feedback pages and transfers the data to the proper and responsible Apple teams and personnel , but NO Apple employees will ever respond with any type of direct, individual replies from the feedback you post.
You can post as much multiple feedback about this issue any time.
The more users that post product feedback about any product issue, the faster Apple is made aware and starts working on a fix/solution for a future software update.
As I stated, this intermittent, unresponsive and unresolved iPad Pro touch screen issue has plagued a small, but growing minority of iPad Pro users across all 4 years of iPad Pro models for 20 months, now!
Also, I STRONGLY suggest contacting/reaching out to Apple Product support and services on this larger screen iPad intermittent, unresponsive touch screen issue and if you have to, escalate this issue to higher levels of Apple customer support personnel to get their attentions on this issue.
Tap on the first link below and scroll down some to get to the Apple Product Support section and phone numbers for your location/region.
https://www.apple.com/contact/
OR
https://support.apple.com/en-us/HT201232
If you need to, if initial 1st tier Apple customer support is of no help to you, you can calmly ask to have this issue escalated up to more responsible, senior Apple customer support employees to see if they can come up with a better possible solution to these iPad issue/s, but I make no guarantees, whatsoever, to ANY type of outcome for these iPad issues.
Most iPad Pro/later iPad Air models started having this intermittent, unresponsive touch screen issue early in the introduction of iPadOS 13, which was last September/October 2019.
A growing minority of newer 2020 iPad Air 4 models are also starting to experience this intermittent, unresponsive touch screen issue.
This is a serious hardware/software problem that has been plaguing a growing minority of iPad Pro users, across all model years, for over tge last two years, or so.
For iPad Pro users, this intermittent, unresponsive touch screen issue started waaaay back with either a late iOS 11 update OR with the introduction of iOS 12.
Sorry that your iPad Pro has contracted this issue.
You are now part of small, but still very much a growing minority of larger screen iPad users that have been affected by this intermittent, unresponsive larger iPad touch screen problem/bug/flaw.
Sorry & Best of Luck to You!