Vlad
This is a VERY rough idea of what I had in mind (my first time putting together a mockup so please forgive any design discrepancies):
I think the area that find takes up from the address bar can be dynamic based on what is typed in, that way it could extend or reduce in size. I think the filter option from @ForumNinja404 is a clean option so I included the icon in this one too.
Alternatively, instead of nesting the find bar into the address bar, the could share the same area like in the mockup but just be in their own separate bars, side by side if that helps with usability and clarity.
Hopefully this makes sense 🙂