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If you have access to free university or you can get a loan then by all means go get a degree.

Your existing programming experience will give you a head start in a few courses.

Most importantly, it will be easier for you to get an internship while studying and you will get exposed to real world software engineering in a hopefully successful software company.

The degree will also make it easy to relocate across the globe. Some countries require university education or many years of experience to even let you work there as a software engineer.