WAV and MP3 serve different common needs. A WAV file can hold uncompressed audio that is useful for editing and archiving. MP3 uses compression that is often useful for listener delivery. The file extension alone does not tell you every setting inside either format.
Ask what the recipient will do
If another editor will change the recording, send the source or working format they request, with the necessary project assets. If the recipient only needs to review an episode, a smaller listening copy may be more convenient.
Do not repeatedly export an MP3, edit that export and export another MP3 as your normal production chain. Keep a clear source master and make delivery copies from the current project.
For a concrete handoff, list the episode title, duration, channel layout and file purpose. Label a review copy as a review copy. That reduces the risk of a host publishing a temporary file simply because it arrived first.
Check the destination's current guidance
A podcast hosting or listening service may specify accepted formats and recommended settings. Use its current documentation rather than treating one export preset as universal. Apple Podcasts publishes separate audio guidance for its publishing paths.
After export, open the file outside the editor. Check its beginning, ending and a difficult edit point. Confirm that the file is not silent on one channel and that the duration matches the intended version.
Keep the editable project, original tracks and final delivery file in distinct places in the archive. The useful decision is not which format is always best. It is which file the next person needs, and which source remains available if the episode needs another edit.