PackageToJS: Remove "playwright" dependency declaration from generated package.json

We alreawdy recommend users to declare playwright dep in their own package.json,
so it doesn't make sense to have it declared here as well.

```
Playwright is not available in the current environment.
Please run the following command to install it:

$ npm install playwright && npx playwright install chromium
```

Actually, the declaration also makes things more complicated when users already
have playwright dependency declared with a different version. Given that
users unlikely commit the generated package.json into their repositories,
it can't be a part of "workspace" either, so there is no benefit to have it here.

Author: kateinoigakukun

Plugins/PackageToJS/Templates/package.json

@@ -9,13 +9,5 @@
     },
     "dependencies": {
         "@bjorn3/browser_wasi_shim": "0.3.0"
-    },
-    "peerDependencies": {
-        "playwright": "^1.51.0"
-    },
-    "peerDependenciesMeta": {
-        "playwright": {
-            "optional": true
-        }
     }
 }