Great thats what I figured. I don't agree with the samsung phone people, they may not actually be techs.
Your color wheel is most likely the problem, fans can go bad , but mostly they just stop and then you'll a fan 2 error message in the picture.
here is the color wheel info make sure to get the correct on buy model, version etc
take a look at the wheel through the hole behind the lamp you should see the colored fins there, if they are broken or gone its shattered.
google with your model and the words color wheel to find one in stock about $140
Its not that hard to change, but make sure of the direction for the ribbon cable
A repairman will charge about $350
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I will reply asap