This same, i can't starty a game, AWA doesn't recognize that I have the game

If the game is already detected and the quest is started, it will eventually count the hours played, it just takes a while to update.

If the quest does not detects the game, you will have to play it for a few hours until it recognizes it.

No luck here either. Keep trying different things, including uninstalling/reinstalling, letting it run for a bit, etc. no luck yet. Hmm i'm seeing the note to play for a few hours before it recognizes it. I'll give that a try. My play time

Just to follow up that allowing the game to run for over an hour then exiting the game, then waiting 30 minutes allowed it to finally show up in AWA for me to choose and launch it. Then had to play for another hour (i played for 70 minutes

Same. Was recognized by the quest the last time but this time it can't find the game again. They should stop using valve games as quests.