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Add node at multiple intersections
The manual says
Add node at intersection
If two or more ways are selected and they intersect witout a common node, a new node will be added at the first intersection found.

However, as in the above picture, if there are multiple places in question, the user has no control about which is the so-called first intersection found. Therefore as an enhancement, a choice could be offered on the screen via highlighted nodes, or even allow choosing "all 13" or whatever the count may be.
~~This would require running the, fairly complex, algorithm multiple times and adding intersection nodes after each run till there are no more. This is likely to be quite slow and painful.~~
After looking at the code, we do have all the intersections it seems, we would however need a mechanism to indicate and select the intersection locations (node highlighting etc naturally doesn't work).
Best workaround would likely be to temporaily split the way(s) so that only one intersection occurs. Not ideal but it allows the desired result to be achieved. I mean the user manually splitting by the way.