In an attempt to provide needed clarity, iTunes as a service was re-branded some time ago as Apple Music. At the same time, the related Apps on devices were similarly renamed.
iTunes as an App remained with Mac until its functionality was subsumed into Finder and the new Music App - at which time references to iTunes disappeared.
For Windows PC, the iTunes for Windows application is very much still alive and kicking. iTunes for Windows provides multiple services - such as providing synchronisation functions for connected Apple devices (iPad, iPhone, iPod) and access to the Apple Music services, media and associated subscriptions from the PC.
iTunes for Windows also maintains your Music Library - where a copies of your music copied from CD and other external media reside. When your iPad/iPhone/iPod are synchronised with your PC using iTunes, your Music Library is copied to the device.
As such, when you purchase a new device, you simply need to synchronise the new device with your PC using iTunes for Windows; subject to your settings, your entire Music Library or elements of it will be copied to the new device - simple.
The most recent version of iTunes for Windows supports Windows 10 and 11 - although older versions of iTunes remain available for Windows 7 and 8. The legacy versions of iTunes for Windows still offer full synchronisation services. However, should your newer Apple devices ever need to be restored or updated by the Windows PC, you may need access to the current version of iTunes - this entailing use of Windows 10 or 11.
Use iTunes to sync your iPhone, iPad, or iPod with your computer - Apple Support
I hope this provides some useful clarity - and confirmation that you can transfer your existing iTunes Music Library to your new iPad.