Hi limaze,
I gave it a try ...
What I did is:
Duplicated the background, setting the blending to Darken and nudged it a bit until the stripes nearly disappeared.
Added a Layer Mask > Hide All to the duplicate, and with a white brush, I painted over the stripes to minimize them.
Duplicated the duplicate Layer + Mask (keeping the blending to Darken),and nudged it a bit more.
Merged visible,
here is a tip on how to do it without losing the underlying Layers ...
Run it through Neat Image (very soft setting).
I didn't touch your red stripes as several of the white ones were perfectly visible.
Hope this helps...