Also, that is not what toxic masculinity means. If you have an all-woman organization that has a culture dominated by counter-productive competition, you don't call that "toxic masculinity". That just wouldn't make sense.

At best, the competition is a symptom of the real (alleged) problem of toxic masculinity: too many men. Specifically an environment where men are systematically favored over women for sexist reasons.

That Google is suffering under such a system is a claim which needs defending.