You might be best advised to seek assistance directly from Apple Support - and request a remote diagnostic test of your iPad. You can contact the Support Team using the Support link at top-right or bottom-left of this page.
Alternatively you can initiate and manage your support cases using the excellent Apple Support App. If not already installed on your iPad, the App can be downloaded from the App Store:
https://apps.apple.com/app/apple-support/id1130498044
You might also visit the Genius Bar at your local Apple Store or Apple Authorised Service Provider (AASP) - where the technicians will be able to test and assess your iPad. Here you will be best placed to explore your available options:
Genius Bar Reservation and Apple Support Options - Apple
For practical purposes, for battery service of qualifying devices, Apple usually exchange the iPad for a renewed/refurbished iPad of the same model and specification. The cost of the exchange is the same as would otherwise be charged for battery replacement.
You can verify both eligibility and cost for your country/region here:
iPad Repair & Service - Apple Support
Given the age of your iPad - and the reduced period of remaining support for your iPad model - battery replacement (if required) might not be an economic proposition. You might instead put this money towards the cost of a much newer model, the performance and capabilities of which will likely surpass your existing iPad Pro.