I'm an inlay beginner, but the articles/video I've seen use a small drop of Titebond Orig or just hold the inlay in place while scribing. Double sided tape is likely to break the pieces. Remove pieces by heating with heat lamp or heat gun.
I've had some decent results by gluing down a photocopy and routing to the outline on the paper (no scribing required). End result is all in the gap filler. I used black CA on ebony.
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