When you're done listening to the current episode and the end of the file has'nt been reached yet, you can use one of those 2 solutions:
Long press on the player next episode button. That way, the app will consider the current file as listened to an will automatically delete it and mark it as played according to your settings before skipping to the next episode.
You can also use the Skip Outro feature for this.
This setting can be set globally or per podcast.
When set globally in Settings/Player/Controls, this will tell the app that as soon as you press on skip forward (aka: +30s jump) towards the end of the current file, then the file is considered fully listened to and will be deleted and marked as played according to your settings before skipping to the next episode.
You will have to tell the app what you consider the end of the file to be using a percentage. Values range between 75% to 100%.
You can also customize this per podcast. To do this go into the podcast custom settings and override the player settings.
When customizing per podcast, you can tell the app to automatically skip the last XX seconds of a podcast. This is useful when a podcast uses the same outro theme song after each episode. You can also tell the app to only trigger this if the skip forward (aka: +30s jump) command is pressed.
BTW, there's a Skip intro setting available in the podcast custom settings, that allows you to automatically start playback after the first XX seconds.