Congrats on the new radio, that's pretty nice of your wife to get it for you!
I have no experience with the battery you linked to, but it looks like a 30Ah LiFePO4 battery, which would likely run that FT-891 for quite some time!
You could try it, but I would NOT recommend using a standard car battery as they are designed for short bursts of high current and not an ongoing low/medium current draw like our radios use. I have in 1 or 2 cases used the battery in my vehicle to power my radio during a POTA activation (I think 1 time I got to the park, put up my antenna, and then realized my battery was still at home on the charger) and the voltage on the car battery dropped quite rapidly with radio type use. I have, however, used a Deep Cycle marine battery with great success but they are big and heavy.
I would suggest trying the FT-891 with your current 8Ah battery and see how it works for you. I have a 9Ah LifePo4 battery that I use for many of my POTA activations and it is what I would use with an FT-891 if I get one. I've been looking at them, but just don't want to part with the dollars, hihi. My main POTA radio currently is an FT-450D and running it at 50W my 9Ah battery gets me through most activations lasting less than 2 hours on SSB and CW.
I really suggest getting a meter like
this one or similar and then you can see the total Ah you use during an operating session. Then you can more easily figure how big of battery you need for a certain length of time.