Which painters tape will not peel off paint?

Situation: repainting standing shelf unit. Base coated entire piece. Then I taped off supports to paint a different color on shelves. When peeled 3M blue off the sides, it pulled off paint from the supports. Found Frog paint (on past projects) inferior to 3M for bleeding, but can't find post where someone uses a different tape that won't peel off freshly painted areas. Anyone know what that 'special' tape is?

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