Hi kalamarin..

access=mo ... This is not the way to point out a way is under construction.
If this will closed for many moths we tag highway=construction condtruction=??  cycleway 

If it for a short period please leave the path open.

If it's for two monts we use conditionaltagging.
For instance access:conditional=no @ (2023 Mrt 20-2023 Apr 30)

So please tell us how long it will take here.
In case access=no the nobody will take notice and after many years there is still an interrupton here. 
Greetz,
eggie
