venting configurations for a basement sink

I need to install a basement sink located 4 feet from a main soil basement stack. The 3" PVC main soil stack drains 3 fixtures (toilet, kitchen sink, bath sink) on the above first floor. The following vent configurations for the basement sink would use 1.5" PVC:

  1. Install a (circuit) revent to stack.

  1. Install a wet vent directly to the stack.

  2. Install a (long) branch vent. The branch vent would have about 50 feet of horizontal 1.5" PVC with five 90-degree turns installed on the basement ceiling. This would connect to a branch vent (1.5") PVC of
42 feet vertical length that connects to the main vent in the attic and through the roof. Due to the length of this configuration, this vent would not have a slope, but should be dry.

Which one of these three is best/acceptable? Thanks.

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Phisherman
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One story or two story house?

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  1. Install an air admittance valve.
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RicodJour

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