Avoid bundling client-nodemodules used by `unstable_rethrow` in client-browser modules (#95196)
There are more client-node modules being bundled into `client-browser`
which I'll fix in a followup (with codegen).
Our internal `unstable-rethrow` will now have a version without suffix
(unbundled or client-node) and a client-browser only version
(`.browser`) that bundlers alias to for client-browser which will always
be bundled.
For the specific modules being removed from client-browser, check the
second commit with the actual change. The first commit fixes the
`browser-chunk` test to include `next/src/server` in a snapshot.
Closes #95189