I absolutely despise working for large corps but this seems like a no brainer. They're paying to teach you to become a Software Engineer?

It's not like this is a life or death decision. If you don't enjoy the job down the road you can quit and go do tech support for thousands of other companies. Thousands of other companies will not hire you and teach you to become a Software Engineer. When I hire developers, unless they're interns, I hire them because they already are Software Engineers.