Rollup merge of #84150 - jsha:defer-search-js, r=GuillaumeGomez

rustdoc: move some search code into search.js

This reduces main.s from 3094 lines to 1587. Also it saves some bytes
of download in the case where search isn't used.

There were a fair number of variables that needed to be accessible in
both main.js and search.js, but I didn't want to put too many symbols in
the global namespace, so I consolidated much of the search-related
state and functions into a new object `window.searchState`.

Demo at https://hoffman-andrews.com/rust/move-search/std/?search=foo

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