[DOCS] Remove URI search examples from API reference (#61423)

docs/reference/search.asciidoc

@@ -1,7 +1,7 @@
 [[search]]
 == Search APIs
 
-Most search APIs support <<search-multi-index,multi-target syntax>>, with the
+Most search APIs support <<multi-index,multi-target syntax>>, with the
 exception of the <<search-explain>> endpoints.
 
 [discrete]

docs/reference/search/search.asciidoc

@@ -595,106 +595,6 @@ Key is the field name. Value is the value for the field.
 [[search-search-api-example]]
 ==== {api-examples-title}
 
-[[search-api-specific-ex]]
-===== Search a single data stream or index using the `q` query parameter
-
-[source,console]
-----
-GET /my-index-000001/_search?q=user.id:kimchy
-----
-// TEST[setup:my_index]
-
-The API returns the following response:
-
-[source,console-result]
-----
-{
-  "took": 5,
-  "timed_out": false,
-  "_shards": {
-    "total": 1,
-    "successful": 1,
-    "skipped": 0,
-    "failed": 0
-  },
-  "hits": {
-    "total": {
-      "value": 1,
-      "relation": "eq"
-    },
-    "max_score": 1.3862942,
-    "hits": [
-      {
-        "_index": "my-index-000001",
-        "_id": "0",
-        "_score": 1.3862942,
-        "_source": {
-          "@timestamp": "2099-11-15T14:12:12",
-          "http": {
-            "request": {
-              "method": "get"
-            },
-            "response": {
-              "status_code": 200,
-              "bytes": 1070000
-            },
-            "version": "1.1"
-          },
-          "source": {
-            "ip": "127.0.0.1"
-          },
-          "message": "GET /search HTTP/1.1 200 1070000",
-          "user": {
-            "id": "kimchy"
-          }
-        }
-      }
-    ]
-  }
-}
-----
-// TESTRESPONSE[s/"took": 5/"took": $body.took/]
-
-[[search-multi-index]]
-===== Search several data streams and indices using the `q` query parameter
-
-[source,console]
-----
-GET /my-index-000001,my-index-000002/_search?q=user.id:kimchy
-----
-// TEST[setup:my_index]
-// TEST[s/^/PUT my-index-000002\n/]
-
-[[search-api-all-ex]]
-===== Search a cluster using the `q` query parameter
-
-To search all data streams and indices in a cluster,
-omit the `<target>` parameter.
-
-[source,console]
-----
-GET /_search?q=user.id:kimchy
-----
-// TEST[setup:my_index]
-
-Alternatively,
-you can use the `_all` or `*` value in the `<target>` parameter.
-
-[source,console]
-----
-GET /_all/_search?q=user.id:kimchy
-----
-// TEST[setup:my_index]
-
-[source,console]
-----
-GET /*/_search?q=user.id:kimchy
-----
-// TEST[setup:my_index]
-
-[[search-request-body-api-example]]
-===== Search using the `query` request body parameter
-
 [source,console]
 ----
 GET /my-index-000001/_search