I’m interested to know how the latch became ‘half-broke’ or damaged. Was this a result of an accident? Was the bad tire blow-out someone else’s tire that then hit your car? Or is this a 10+ year old car with an equally aged car problem. If it is the latter, a good soaking with a spray-on lithium based lubricant may help free up stuck or frozen latch parts.
Toyota Corollas are among the most common cars on the road. There are plenty of them in salvage yard across America. I wouldn’t hesitate to get an undamaged latch from a salvage and replace your possibly damaged one with it for a fraction of the cost for new. Of course with a generous application of lithium-based or graphite-based lubricant.