Bought a game on PC version of the Microsoft Store, is there any way for me to get that...

Games that was bought from the the Microsoft store will have achievements that will be awarded to the Microsoft account that has purchased the game.

It has 20 achievements to get on the PC version of the game.

I am having this exact same issue. I bought the worldSlayer upgrade on Xbox through the Microsoft store and it works fine on Xbox but there is no option to install the worldslayer license on PC. there's the base version of outriders which it lets me install with game pass and there is the worldslayer addition of outriders which it wants me to purchase. But there is no way to select the worldSlayer add-on like there is in the Xbox version of the Microsoft store. This is a mistake on Microsoft's part.

I accessed the Microsoft store and bought the game, and nothing happened.

It has not been resolved. Is there no way that microsoft marks me as having the final version of the game?

If you bought it from Microsoft, then that would be the console version of the game. That game is not available through the Microsoft Store for PC.

If you bought it from the website, then you bought the console version (especially since it's the 360 version of the game). That's why it's talking about installing remotely and it's not an install for the PC. That game is not available through the Microsoft Store for PC.