Your LiZone battery is likely not going to work.
These batteries have circuitry that detects low current (i.e. device you are charging is charged and no longer drawing current from the charger), and therefore switch their output off.
I learnt this on a star adventurer - perfect for about 30 seconds then if goes off!
My advice, if you need to use a battery and you're not sure about electronics / voltage / current / power etc, is look for a Powertank (various brands, namely Skywatcher and Celestron).
This is the simplet way to achieve what you need.
Essentially all they are is a lead acid battery, probably a 7Ah (Ah means capacity, so a 7Ah battery theoretically can deliver 1A for 7 hours, or 7A for 1 hour etc.)
The AZ-EQ6 probably needs a 5A power supply for when it starts to slew, especially both axis, but for normal tracking speeds, the current is a lot less, maybe half an A (I haven't measured this, I might do one day).
So, a Powertank is likely your best bet as there's little you need to understand, apart from use it, then charge it!
https://www.firstlightoptics.com/batteries-powerpacks/skywatcher-powertank-7ah.html