Hello! I see that your PS4 Second Screen app is asking for an update even though you believe it is already updated. Let’s figure this out together.

Could you please tell me:
- On which device are you using the PS4 Second Screen app?
- Have you updated the app through the Google Play Store recently?
- Are you noticing any error messages or odd behavior besides the update prompt?
- Also, is your PS4 console itself updated to the latest firmware?

In the meantime, here are some steps you can try to resolve this:

1. Restart Your Device: Sometimes a restart can clear any temporary glitches causing false update notifications.

2. Clear App Cache and Data:
- Go to your device's Settings > Apps > PS4 Second Screen.
- Tap “Storage” then “Clear Cache” and “Clear Data” (note: clearing data will reset app settings).
- Afterward, open the app again and see if it still asks for the update.

3. Check for Google Play Store Updates:
- Open Google Play Store, search for PS4 Second Screen, and see if it still shows “Update” or “Open”.
- If there is an update, install it. If not, you already have the latest version.

4. Reinstall the App:
- Uninstall the PS4 Second Screen app.
- Restart your device.
- Install the app again from the Google Play Store to make sure you have the freshest version.

5. Confirm PS4 Firmware Is Updated:
Sometimes the app expects the console to be on the latest system software. On the PS4, go to [Settings] > [System Software Update] and update if necessary.

If after these steps the app still insists on an update, there might be a rare issue with how the app is detecting version or a temporary server-side version mismatch. Checking for any ongoing outages or contacting official Sony support could be helpful.

Let me know how these go, and we'll take it from there! Are you satisfied with this solution so far?