iOS Mail App no Push / ActiveSync

You are on IMAP not on Active Sync as per your screenshot.
Push does work on Active Sync but sending via Active Sync does not.

Delete your account from your Iphone and try again. Setup Microsoft exchange (find your server address usually box.yourdomain.com in the MIAB Admin panel Instructions):
Set up Exchange ActiveSync on your iPhone, iPad, or Apple Vision Pro - Apple Support (MK)

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