To be fair, I think you need to read a bit more here. I was going to provide links, urls, but quick Google searches (for example), cite theories re: people living on the land bridge for countless generations, and why not? Why wouldn't people live there?
It was land, right on the ocean, and they've found evidence under water of people living at the end, of this being the case.
And if people are living on the bridge, why on earth would they just stay put. For 100k years of time?! Even if the land bridge was only open for 10% of that time, that's more than all recorded human history!
But beyond this, I'm baffled that you haven't heard of the artic route. How do you think the Inuit got where they are today? Artic people just lived in the artic, and didn't care if it was some future country called "Russia" or "China" or "Greenland", but just wandered where ever they wanted.
But what I find baffling is that there is the concept of "one wave". What does that even mean?
Was there a group of people in a boat, and they crashed on the shore, and the entire massive population of all of North and South America arrived from those dozen or so peoples?! Because that's "one wave".
Or was there an old civilization, 10k year ago, 100k years ago, 200k years ago, and all the people came by boat then, and then just... what... no one ever came again ever? For 100k, 200k years?!
There has never been a single wave, a single point, ever! Why do people believe this? I'm genuinely baffled here.
It being difficult, vastly underestimates our ancestors.
My only thought is that perhaps you grew up in a Mormon household, and believe that all the peoples here are of a single lost tribe of Israel? Or maybe you were taught in a more traditional public school, back when people were still hung on the idea that the Earth was 6k years old, so of course, naturally, there was only one wave of Natives!
A lot of narrative about native americans was crafted with theology in place. It's time to disown that.