Orient on surface STUCK!

Trying to get this buckle curve to orient along the horisontal edge so I can fit isocurves into it.
Having some real problems, as I dont understand how it works properly.
I want to align the buckles bottom edge with the bottom edge of the piece AND keep it as close as possible to the surface so I can project/pull it into place.

buckle fit.3dm (2.2 MB)

I can probably get close manualy with the orient tools and rotate if the object gumball behaves itself, but I would like to understand the proper tool.

Hi Simon - OrientOnSrf should do it - see if this quick clip helps;

Is that more or less what you need to do?

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Thank you Pascal.