Don’t do it, except in an absolute emergency. Starter batteries are not designed for this use, rather to provide maximum amps when starting. Doing so will quickly destroy the starter battery, money better spent on a proper solution.
Short of a full solar system a portable power station is your best bet. There are better values than Jackery. You want a lifepo4 lithium based system for longevity.
As to how big, you’ll need to do the electricity math. The blanket label will have a watt rating, roughly how many hours you want to run the blanket times those watts is how many watt hours of power station you need. You will need to adjust for lower settings and there is also inverter conversion loss of ten percent or more.
If you need to replace your starter cost wise they do make deep discharge specialty starter batteries. These are commonly used in public safety vehicles, etc. Optima and Odyssey are two brands that come to mind.