Can’t install 12.2 update

Typically, this is a Windows issue. Read this:

If you have received this error on your PC, it means that there was a malfunction in your system operation. Common reasons include incorrect or failed installation or uninstallation of software that may have left invalid entries in your Windows registry, consequences of a virus or malware attack, improper system shutdown due to a power failure or another factor, someone with little technical knowledge accidentally deleting a necessary system file or registry entry, as well as a number of other causes. The immediate cause of the "Error 4000" error is a failure to correctly run one of its normal operations by a system or application component.

It would be advisable to reinstall iTunes on your computer. This link may help you (pay attention to step 4 in the link: https://support.apple.com/en-us/HT201668

If you have an iPad Air 2 as your signature suggests it's compatible with iOS 12.2

If you can't get it to update over the air, make sure you have the latest version of iTunes on your home computer, and do the update via your computer and iPad.

The laptop needs to be connected to Wifi. There is no need to connect the laptop to the router directly. It just needs to have Wifi access, which is usually wireless. The iPad HAS to be connected to the laptop via USB.

If it updated your iPhone, then no, it should not be necessary to uninstall iTunes and reinstall it.

That iPad is on this list of compatible devices - https://support.apple.com/en-us/HT209051 so it should update. Keep following what rbrylawski is suggesting.

Follow the directions on Update Your Device Via iTunes in this link: https://support.apple.com/en-us/HT204204

Are you plugged into a power source and a good wifi connection? What is the model number (A_ _ _ _)?

Yes it is. The OP has an iPad Air 2, which is compatible with iOS 12.2

Did you go to settings>general>reset>and reset the network settings?

I messed up the initial post and changed it. You are correct.