I think it was
@RalphLambrecht who had a chapter in his book about film strength fixer for photo paper, to never fix more than a total of 2 minutes as the fixer becomes near impossible to wash out.
But the OP appears to be fixing for 45 seconds in his 2-bath fixer regimen, which is 1m30s total, way less than 2 minutes.
The actual washing, however, needs to be scrutinized. My prints are always washed under running water; I understand it's a process of slowly disappearing levels of fixer coming out of the paper fibers, and that the surrounding water needs to be fresh and mostly free of fixer for that process to work. I could be wrong, but with running water there is no risk of this being a factor at least.