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So, if I buy the 0.8 version now, does that mean when 0.9 comes out I will have to pay another 10 dollars for it as well?

(+2)

No.

If you spend $10, you will receive the new version on the day of release (early access). If you spend $5, you will receive a new version of the game after the early access passes (usually 1-2 weeks after the release).