Unable to update new software tried every step shown in

Any error messages given?

Depending on your iPad model, the built in hardware may not support any further iOS updates.

Update your iPhone, iPad, or iPod touch - Apple Support

Check these articles about it:

iOS 15 and iPadOS 15 are compatible with these devices - Apple Support

iOS 14 and iPadOS are compatible with these devices - Apple Support

iOS 13 and iPadOS are compatible with these devices - Apple Support

iOS 16 has not yet been released for iPads.

The last security updates iOS 12.5.7 -> released September 12, 2022.

Available for: iPhone 5s, iPhone 6, iPhone 6 Plus, iPad Air, iPad mini 2, iPad mini 3, and iPod touch (6th generation).

Check iPhone model & iOS version -> Go to: Settings -> General -> About.

Go to Settings -> General -> Software Update -> Download and Install.

iPad Air, iOS 11

Looks like you have an outdated iPad.

Yes, most apps require iPadOS 13 or later.                                

Considering a newer type of iPad?

Read before you buy a newer iPad:

The All Too Common SAD Reality of Buying a Used iPad/iPhone

The All Too Common SAD Reality of Buying … - Apple Community

Apple Store -> iPhone - Buying iPhone - Apple

Apple Certified Refurbished -> Refurbished iPhone - iPhone 12 Pro - Apple