Do you really need a server implementation for this? Surely you could achieve this with a browser extension that grabs queries which begin with "!" and then has a mapping table of postfixes to query formats?
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Well, I just probably am not going to use a software product named “bong” but I suppose that’s just me.
I think the issue with running something like this or SearXNG is that the good indexes will fight your efforts to use them unless you pay up and use the API. This product also suggests the google smart suggest API in the default config, which isn’t very much of a Google decoupling.
What is this? The link is to a demo with just a text search field?