blind alley
US /blaɪnd ˈæl.i/
UK /blaɪnd ˈæl.i/

1.
a street or passage that is closed at one end; a cul-de-sac
:
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We drove down a blind alley and had to turn around.
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The children were playing at the end of the blind alley.
2.
a course of action that leads to no progress or a dead end
:
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Their investigation led them down a blind alley.
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Pursuing that strategy would be a blind alley for the company.