PLEASE TAKE MY ADVICE CAREFULLY. I REFUSE TO BE HELD RESPONSIBLE FOR SOMETHING I DID NOT DO. I didn't think to show I wired this. I wired the 15 amp circuit breaker on the lamp directly to the hot on the power cord. Then I wired the outlet switch and light switch to the other side of the breaker. I tapped the negative from light and from the power cord to the negative on the outlet. I hope this helps if you decide to do this on your own.
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https://www.youtube.com/watch?v=-THcEFq5dYQ
If you blast me with comments, I'll just block you. Don't bother. The original recording of this video was over 16 gigs lol. I downgradeded for a faster upload time.
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https://www.youtube.com/watch?v=5IlPdCP1NlU