GET /api/nests/query filters name, customer, material, made by, comments
and status (stored and display names) with an escaped LIKE parameter,
orders newest saved first with an id tie-break, and returns one page of
at most 500 records plus the total match count, read in one database
hold. Unknown, repeated or out-of-range parameters return 400.
RemoteNestRepository.QueryAsync validates the same bounds before
sending, rejects oversized pages, and reports a 404 from an older server
as a server that needs updating. GET /api/nests stays the full
enumeration used by backup, restore checks and the container smoke.
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