Is there a page that shows questions marked with any of your interesting tags?
Right now you would have to clear out your entire interesting tags list and then fill it back up with those three (3) tags you're interested in.
Then click for Unanswered and then select the My Tags tab.
That will show up all questions (but only those without an answer that has received any upvotes) with any and either of your selected tags.
But right now if you tried something like this in the search:
It would return all questions tagged with the trio. Not those with just the one or two, but all three.
You would net nothing.