Google as a company that manages multiple services has been from time to time accused of taking advantage of its position to favor its own company and yeah, I foresee this with Stadia. But actually, a recent move with Google Search is the most "partner" way with the competition.

It was Bryant Chappel from The Nerf Report that noticed that you can actually launch Cloud Gaming Platform within a Search result in Google.

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While the feature doesn't appear to be rolling massively, you can now look for a particular game and a "Play" option could appear and then let you access Stadia directly.

But the functionality is not limited to Stadia as Chappel confirmed the functionality with Amazon Luna, Xbox Cloud Gaming, and Nvidia’s GeForce Now, too.  

Of course, the prerequisite is that you have an account and have already signed in with the same browser that you are using.

I tried to test myself, but unfortunately as of the writing of this, my account doesn't have the function deployed at my side of Google but it is great actually that Google is giving the same opportunity regardless they are Stadia owners/creators.