How should a fresh grad save up for an overseas Master's Degree of an estimated $40k (inc. lodging & food)?

Based on the considerations that the programme is not available in Singapore, has a good name, that the fresh grad is looking for a career in academia, and that first job offers $2.6k take-home salary. Total available sum for saving is $1k (outside of $300/month long-term investment = 20yr), but have to also partition savings money for possibly marriage and getting a home. Saving $400 a month specially for the degree only comes up to <$5k in a year, and <$25k in 5 years.