Georeferencing points to an aerial image

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I have a file containing a large number of points that were digitized from scanned plans in CAD. The points represent pit lids at an industrial facility.

When the point file is laid over the aerial image the points are all out by varying amounts.

Around the perimeter of aerial I can see a decent number of the pits. Within the centre of the facility there is a lesser amount of pits visible.

Is there a technique or workflow to "transform" the pits to the aerial in QGIS?

I would appreciate any guidance.

Thanks

PS I inherited the files in this manner and would do it differently if I had the chance



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