deleted text recovery?

It would be easier to say it is impossible but...

If you deleted them in iOS16 or later, check the Recently Deleted messages

The iMessages may or may not be backed up...

Look in Settings, [your name], iCloud.

If “Messages” was turned ON in Settings, [your name], iCloud then no you cannot retrieve them. They re not backed up.

If “Messages” was turned OFF in Settings, [your name], iCloud then you can restore the  backup you took before the text thread was lost, and of course lose everything else since that date. You need to erase all content and settings first.

If you took a backup after you lost the texts they will not be on the backup

If you deleted it yesterday in iOS 15, it was deleted in the cloud immediately. Turning messages off and back on, won't be very helpful in this regard.