[App] Improve LightningTrainerScript start-up time (#15751)

(cherry picked from commit c2c1974)

Author: ethanwharris

src/lightning_app/components/training.py

@@ -147,33 +147,28 @@ def __init__(
                 the ServableModule API
         """
         super().__init__()
-        self.ws = structures.List()
-        self.has_initialized = False
         self.script_path = script_path
         self.script_args = script_args
         self.num_nodes = num_nodes
-        self._cloud_compute = cloud_compute  # TODO: Add support for cloudCompute
         self.sanity_serving = sanity_serving
         self._script_runner = script_runner
         self._script_runner_kwargs = script_runner_kwargs
 
-    def run(self, **run_kwargs):
-        if not self.has_initialized:
-            for node_rank in range(self.num_nodes):
-                self.ws.append(
-                    self._script_runner(
-                        script_path=self.script_path,
-                        script_args=self.script_args,
-                        cloud_compute=self._cloud_compute,
-                        node_rank=node_rank,
-                        sanity_serving=self.sanity_serving,
-                        num_nodes=self.num_nodes,
-                        **self._script_runner_kwargs,
-                    )
+        self.ws = structures.List()
+        for node_rank in range(self.num_nodes):
+            self.ws.append(
+                self._script_runner(
+                    script_path=self.script_path,
+                    script_args=self.script_args,
+                    cloud_compute=cloud_compute,
+                    node_rank=node_rank,
+                    sanity_serving=self.sanity_serving,
+                    num_nodes=self.num_nodes,
+                    **self._script_runner_kwargs,
                 )
+            )
 
-            self.has_initialized = True
-
+    def run(self, **run_kwargs):
         for work in self.ws:
             if all(w.internal_ip for w in self.ws):
                 internal_urls = [(w.internal_ip, w.port) for w in self.ws]