This will never be possible.
That nearly 10-year old iPad 2 model cannot ever upgrade beyond iOS 9.3.5/9.3.6.
Your iPad model is too old, now.
Apple ended support for 8-10 year old iPads, at least, over 3 years, ago.
The internal hardware in that iPad is too old, woefully underpowred and completely incompatible with all later versions of iOS/iPadOS.
Virtually, all third party iOS app developers ended/stopped/abandoned supporting these old iPads over two years, ago.
There are virtually, NO MORE older iOS 9 or 10 compatible apps available from the Apple iOS App Store, any longer.
Simply put, your 2nd gen iPad is too old and obsolete now.
Sorry.
If you need/want an iPad with an up to date iPadOS with access to current, updated apps, then you really need to seriously consider a new iPad model OR a much “newer” , used iPad model capable of running the latest iPadOS versions.
There are plenty of newer, older iPad models that can run the latest, current versions of iPadOS.
Sorry & Best of Luck to You!