My iPad won’t show me the new option for updates.

That is a an iPad Air 3?

It’s shows it’s supported.

https://support.apple.com/guide/ipad/supported-models-ipad213a25b2/13.0/ipados/13.0

It could be a wonky download especially if you have it to set update automatically. You can check and remove the update:

https://support.apple.com/en-us/HT201435

Rob1356 Said:

"My iPad won’t show me the new option for updates.: My iPad won’t show new updates. I am stuck at 12.5.5 Any suggestions? I have already searched for a new update and says I have the newest update."

-------

How to Update an iPad:

By using a compatible device, and reliable connection.

Verify Compatibility:

1. Go to: Settings
2. Tap: General
3. Tap: About
4. View: the model shown

Then, see if the device is shown here:

Go here iPad Models Compatible with iPadOS 15.2 - Apple Support

If compatible...

Use of a Computer to Update:

My User Tip: Making Use of a Computer for Updating an iOS Device - User Tip

Can you, please, confirm what year and model iPad do you have/own?

The “A” model number can be found on the aluminium back of your iPad, in very small print, right under the larger bold print “iPad” on the back of the iPad.

What iOS/iPadOS version is this iPad, currently, running?

What is the rated, internal data storage space/capacity of your iPad model and how much of this free, internal data storage capacity is left inside of your iPad model?

All of that additional info can be found in the Settings app, General settings panel, About.

Please try to make an attempt to answer all questions asked.

Thank You.