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Pitcher A gets the loss. The loss is given to the pitcher who is charged with giving up the run that puts the team that loses the game permanently behind in the game.
In your scenario you are correct in the assumption that Pitcher A and Pitcher B will each get a run charged against them however since Pitcher A put the man on base who scored the run that put the losing team permanently behind Pitcher A is credited with the loss.
Now if Pitcher B gotten the first batter he faced to ground into a force out then given up the walk off HR he would charged with both runs and the loss.
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