Android 13 write Files in Smartwatch

I am developing an application for a Wear OS system that creates a TXT file and continuously writes the accelerometer data, until it finishes and creates a ZIP from the TXT.

My problem is that I have changed my watch and now the one I’m using, Samsung Watch 5, has Android 13 API 33 and the permissions I had to save and edit the generated files are not working.

I have found this on internet “Based on the Android documentation READ_EXTERNAL_STORAGE permission has no effect starting from API level 33. For API level 33 and above you can use READ_MEDIA_IMAGES, READ_MEDIA_VIDEO, READ_MEDIA_AUDIO permissions depending on your use case”

None of them are something like READ_MEDIA_FILES o similar.

Until now, I have been using this:

<uses-permission android:name="android.permission.WRITE_EXTERNAL_STORAGE" />
 <uses-permission android:name="android.permission.READ_EXTERNAL_STORAGE" />
 <uses-permission android:name="android.permission.MANAGE_EXTERNAL_STORAGE"/>

I have this error:

Process: com.myapp, PID: 27273    
java.lang.RuntimeException: Unable to start service com.myapp.controller.SensorsService@eabe365 with Intent { cmp=com.myapp/.controller.SensorsService (has extras) }: java.lang.RuntimeException: /storage/emulated/0/myfolder/file.txt: open failed: EPERM (Operation not permitted)`

Seems little bit confusing. As far as I know system storage of watch is not accessible from the 3rd party application. But you said this application was working okay with previous version.
Did you able to access this on previous galaxy watches?