Cable Removal From Short Video

I have a handheld-shot clip, just under a minute long, in MOV format. One distracting cable hangs across part of the frame and I need it removed seamlessly so no trace remains, even when the camera or background is moving... (Budget: £20 - £250 GBP, Jobs: After Effects, Color Grading, DaVinci Resolve, Rotoscoping, Video Editing, Video Post-editing, Video Production, Video Services)