fix(cli): Respect implied BYONM from DENO_FUTURE in deno task (#24652)

Regression from
04f9db5b22

Originally I thought to fix the issue in the PR we needed to explicitly
pass through the `node-modules-dir` flag, but after applying the correct
fix that david pointed out (setting `NPM_PROCESS_STATE`) that wasn't
necessary (or correct).

We had a test for deno task with BYONM, but it only tested with
`"unstable": ["byonm"]` in deno.json, so it didn't catch this.

tests/specs/npm/lifecycle_scripts/__test__.jsonc

@@ -132,6 +132,19 @@
           "output": "no_deno_json.out"
         }
       ]
+    },
+    "lifecycle_scripts_no_deno_json_conflicting_bin": {
+      "tempDir": true,
+      "steps": [
+        {
+          "args": ["eval", "Deno.removeSync('deno.json')"],
+          "output": ""
+        },
+        {
+          "args": "cache --allow-scripts --node-modules-dir=true conflicting_bin.js",
+          "output": "conflicting_bin.out"
+        }
+      ]
     }
   }
 }