Or if you go ping pong across containers to handle a single request. That will certainly make a laptop unable to handle this load.
I guess you would need some sort of search term to document id mapping that gets downloaded to the browser but maybe there's something more efficient than trying to figure out what everyone might be searching for in advance?
And how would you do searching for phrases or substrings? I've no idea if that's doable without having a database server-side that has the whole document store to search through.
there might be some piece I'm missing, but the first thing that comes to mind would be using that, possibly with the full-text search extension, to handle searching the metadata.
at that point you'd still be paying S3 egress costs, but I'd be very surprised if it wasn't at least an order of magnitude less expensive than Vercel.
and since it's just static file hosting, it could conceivably be moved to a VPS (or a pair of them) running nginx or Caddy or whatever, if the AWS egress was too pricey.