My home button is not reading my fingerprint. I have cleaned it. It still doesn’t work.

Good. As the iPad has not had a repair, there are many possibilities that can be excluded from consideration. If you have not done so already, perform a forced-restart of the iPad - as this will often resolve an isolated software issue:

• On an iPad with a Home button: Press and hold the top button and the Home button at the same time. When the Apple logo appears, release both buttons.
• On other iPad models: Press and quickly release the volume up button, press and quickly release the volume down button, then press and hold the top button. When the Apple logo appears, release the button.

You mention having attempted to reset TouchID. Presumably by “reset” you have actually attempted to register one or more new fingerprints with the iPad?

Use Touch ID on iPhone and iPad - Apple Support

When doing so, did the iPad go through the normal process - requiring multiple placements of your finger, on the TouchID sensor, for each finger that your registered?

Having followed the guidance in the referenced link, should you continue to experience difficulties, you may need to seek assistance directly from from Apple Support. You can contact the Support Team using the Get Support link at top-right 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/gb/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:

Genius Bar Reservation and Apple Support Options - Apple

Has your iPad ever received a screen repair - perhaps by an independent repair shop?

I don’t have old iPad, i have iPad Air 5, iOS 15.6

I wasn’t asking about the age of your iPad - but did ask a direct question at to whether or not your iPad has had a repair.