Are Luna games from Prime Gaming temporary?

Hello. I'm new to Amazon Luna. I have Amazon Prime and I just logged in to Twitch to see if there were any interesting games to claim. I see that a few of the games now say "Play on Luna". After checking it out, I've gotten confused about the permanence of the games on there.

For example, I see that Control is being offered, but it says "available through Oct 1, 2025". Does that mean I only get until the 1st to play it?