feat: implement <ClientFilter /> to AI Bridge request logs (#22694)

Closes #22136

This pull-request implements a `<ClientFilter />` to our `Request Logs`
page for AI Bridge. This will allow the user to select a client which
they wish to filter against. Technically the backend is able to actually
filter against multiple clients at once however the frontend doesn't
currently have a nice way of supporting this (future improvement).

<img width="1447" height="831" alt="image"
src="https://github.com/user-attachments/assets/0be234e2-25f2-4a89-b971-d74817395da1"
/>

---------

Co-authored-by: Jeremy Ruppel <jeremy.ruppel@gmail.com>
Co-authored-by: Claude Sonnet 4.6 <noreply@anthropic.com>

coderd/database/queries/aibridge.sql

@@ -680,3 +680,27 @@ ORDER BY
 LIMIT COALESCE(NULLIF(@limit_::integer, 0), 100)
 OFFSET @offset_
 ;
+
+
+-- name: ListAIBridgeClients :many
+SELECT
+	COALESCE(client, 'Unknown') AS client
+FROM
+	aibridge_interceptions
+WHERE
+	ended_at IS NOT NULL
+	-- Filter client (prefix match to allow B-tree index usage).
+	AND CASE
+		WHEN @client::text != '' THEN COALESCE(aibridge_interceptions.client, 'Unknown') LIKE @client::text || '%'
+		ELSE true
+	END
+	-- We use an `@authorize_filter` as we are attempting to list clients
+	-- that are relevant to the user and what they are allowed to see.
+	-- Authorize Filter clause will be injected below in
+	-- ListAIBridgeClientsAuthorized.
+	-- @authorize_filter
+GROUP BY
+	client
+LIMIT COALESCE(NULLIF(@limit_::integer, 0), 100)
+OFFSET @offset_
+;