You can book this as a service for only $499/$999 per month from a dodgy website with no company adress but bold claims about time savings. Lol. Source: https://applybyapi.com/#pricing
But the best thing is: you can't send your open jobs by API. You need to use a rich text editor:
Post your job
Upload your logo and use our easy rich text editor to make your posting shine. Unlimited job postings are included with every plan.