Run type check for all web app packages in CI (#22578)

* Fix incorrect usage of types pacakge

* Make platform packages properly expose their type definitions

* Have Boards, Channels, and Playbooks get types from platform packages properly

* Run type check for all web app packages in CI

* Fix incorrect job name

webapp/platform/client/package.json

@@ -10,7 +10,8 @@
   "files": [
     "lib"
   ],
-  "main": "./lib/index.js",
+  "main": "lib/index.js",
+  "types": "lib/index.d.ts",
   "repository": {
     "type": "git",
     "url": "github:mattermost/mattermost-webapp",

webapp/platform/client/tsconfig.json

@@ -12,12 +12,14 @@
         "jsx": "react",
         "outDir": "./lib",
         "rootDir": "./src",
-        "composite": true,
-        "paths": {
-            "@mattermost/types/*": ["../types/lib/*"]
-        }
+        "composite": true
     },
-    "exclude": ["**/node_modules", "**/lib", "**/*.test.js", "**/*.test.ts"],
+    "include": [
+        "./src/**/*"
+    ],
+    "exclude": [
+        "**/*.test.*"
+    ],
     "references": [
         {"path": "../types"}
     ]