This would be like if Tesla made the roads and the roads could recharge batteries but only to Tesla vehicles and you as a Tesla owner saying this is not anti-competitive.
Even as a non Tesla owner I would say that’s not anti competitive if every other OEM is also able to make their own roads, which is exactly the case with Chrome.
There’s multiple browsers, and people might choose Chrome because it has a better ecosystem around it. That means it’s a better product for those people.
But Chrome doesn't work that way at all? Google gives Chromium away for free - which has enabled innovation across the software industry beyond the browser space if I must say so.