Samsung Galaxy Tab E 9.6
The latest firmware for Samsung Galaxy Tab E 9.6 (SM-T567V) is T567VVRU1CRA1 with Android 7.1.1, released on January 11, 2018 for 1 region (CSC). Every official firmware build for SM-T567V, newest first: one row per build with all regions (CSC) that received it.
Each firmware build has its own page at https://samfirm.shop/build/{PDA}, where {PDA} is the build number from the list above. Example: https://samfirm.shop/build/T567VVRU1CRA1
All 3 builds in our database run Android 7.1.1. The newest build, T567VVRU1CRA1, was released on January 11, 2018. No new build has appeared for 107 months, so regular updates for this model have most likely ended.

SM-T562

SM-T561M

SM-T550X

SM-T575

SM-T570
The newest firmware for SM-T567V runs Android 7.1.1: build T567VVRU1CRA1, released on January 11, 2018.
The latest build for SM-T567V, T567VVRU1CRA1, was released on January 11, 2018 (8 years ago).
SM-T567V has had no new firmware for 107 months, so regular updates have most likely ended.
Yes, all firmware files for SM-T567V are 100% official, original, and obtained directly from Samsung servers.
To flash SM-T567V, you need to download the appropriate firmware, put your device into Download Mode, and use the Odin tool to load the BL, AP, CP, and CSC files.
Downgrading is only possible if the bootloader version (binary bit) of the old firmware matches the current one. Always check the binary version before flashing SM-T567V.