Is Starcraft playable on any cloud gaming services?

Check today’s availability of Starcraft on Boosteroid, GeForce Now, Google Stadia, Playstation Now, Xbox Cloud and Shadow.
Starcraft is available on:
Starcraft is not available on:
Description: StarCraft: Remastered upgrades the essential sci-fi strategy experience from beginning to end. Welcome back to the original game and its award-winning expansion, StarCraft: Brood War.
Publisher: Blizzard Entertainment
Developer: Blizzard Entertainment