Google pushed out Android 4.4.3 KitKat update for various Nexus and Google Play Edition devices, around three weeks ago. Motorola also has pushed out Android 4.4.3 KitKat to its Moto X and Moto G devices.
The Nexus 7 2013 LTE device was left behind, but now, Google is finally pushing out the 4.4.3 KitKat update to the slacker tablet, which is still behind as the Android 4.4.4 KitKat is rolling out already.
Hoping that it will not wait too long to receive the latest Android 4.4.4 update, now you are hereby notified that the factory image and binaries are available for your Nexus 7 2013 LTE and ready for download right away.
At this moment, there are no information on the over-the-air Android 4.4.3 update being pushed out for Nexus 7 2013 LTE, but it will probably come soon.
Anyway if you are familiar with flashing factory images you can get the update yourself.
Remember that choosing this option to update your device requires resetting the device to factory settings, losing data stored in memory and the applications installed separately, so make sure you backup all your important data first, or you could choose to wait for the over-the-air update to become available.
The Android 4.4.3 KitKat update is set to fix various bugs before the next version of Android comes out.