Portable/Backup Lithium

I would want to know what size cable they are squeezing inside to give a 175 amp Anderson port and from the battery to the 3kw inverter as that should be about 50-70mm squared even on a tiny short run like that
 
You have to be careful when reading specs on these Lithium based starter packs ... emergency packs ... power banks etc. The sellers usually quote capacity wrong - they add up the cells to a 'series' total even though the packs are a combo of series and parallel. The amp output is of course a burst and not sustained.

OK - Depending on which Lithium format you choose - you can have a small pack deliver 12V at 100A ... but it will not sustain it for long !
My 220kph Speed machine (I was part of a group of model flyers on a forum - Need for Speed - who took a small model and installed insane power setups. I had a 1500mAh 3 cell LiPo pumping out over 110A to achieve that Airspeed. The pack after 2 flights was unsuited to flight again and became a bench test pack.

OK - why tell about that ? 3 cell LiPo at full charge are 12.6V ... sold as 11.1V Nominal. A 4 cell pack LiPo is 16.8V full charge and 14.8V nominal. Based on 4.2V max per cell, 3.7V nominal.

LiFe ... LiFePo can be 3.6V max per cell - or if you can get the High Voltage LiIon - you can get 4.2V max per cell. Standard LiIon is 3.6V max.

Therefore its easy to work out what cell type and cell count you want ... the C rating is the max discharge rating ... C x Capacity gives you the max amp discharge rate ... so for any duty that may call for starting an engine - you need High C rating.
If you are looking at having a backup power set for your Plotter / other gadgets - then the battery pack can actually be significantly smaller and lower capacity.
I regularly run my Plotters on LiPo's of 3S (12.6V) and small capacity of 2200mAh ..... plotters usually don;t go much over 0.5A with all functions active .... so that pack will give (based on 80% discharge) about 3.2hrs use ... Much larger packs are out there or parallel a couple. But if you go this route - regardless of Lithium format - get a charger that is user settable to them. The smaller packs as used in models and back-ups to my plotter as example should never be charged from alternator or usual on-board sources.

Apologies if I have misread OP's wants ....
 
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