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Whats the boundary on the top edge of the diagram?
I very shonky Stone wall, which will be getting re-pointed at some point. There are these metal fence posts along it though which are probably a good candidate to hang conduit from (if that's allowed).
That might make things easier as there's a soil pipe under there somewhere to negotiate.
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Depending on the spacing of the posts, running the cable in the air clipped to the posts might be fine, perhaps not needing conduit at all because the cable is armoured, it doesn't need extra mechanical protection. You could also add extra posts - but you'd need to make sure they're properly secure.
Running along that wall in some way would also be fine, but it might lead to complications when you get it repointed. Although I guess you could bang it on the wall and just undo the clips and pull the cable out the way for the work to be completed and then just screw the clips back in the same place (provided the stonework doesn't get moved around in the repointing). I'd probably opt for putting it on the wall one way or another as it'll be cheaper/more straightforward than digging 17m of trench.
A sparky will be able to advise for sure btw. And they'll be able to offer a schedule that works best for them - there's loads of options but the sparky will likely have a preference for the order of how the work is done.
If you want to run the cable as the bathroom is coming up, I'd get the spark to install the cable run from the consumer unit (but not connected up), through the bathroom and to the outside of the house and to just leave a coil long enough for your run to the shed, you can they bury it/lay it as you go. Not all sparks will be happy with you laying the cable yourself, so you'll need to speak to them and find an arrangement that works. Running it to a junction box to be connected later will be neater in the meantime, but may be more costly than just leaving a coil hanging where the cable comes out. They may also opt to run normal twin and earth cable to a junction box, and then only run armoured cable from the junction onwards. A lot of the details will pertain to the house, size of cable you need and what the cable run inside looks like, and ultimately the preference of the sparky.
Like SB has pictured, it's fine to just leave a coil of cable at the end. Clipping to fences is tricky - because the structure they're clipped to needs to have a lifespan that's expected to be similar to the cable, IE that the fence won't fall apart while the cable is still installed. SB's fence and posts looks pretty sturdy so the spark was obviously happy to clip the cable directly to that.
Whats the boundary on the top edge of the diagram?