Currently it is not standard functionality to allow the Comment section of the Tasks to show in the Activity History or the Open Activity related lists.
As a workaround, you can create a custom field and use a flow to populate that field with the comment information. That custom field can be displayed in the related list.
Go to the Page Layout of the Object that you require the field to show on the related list, and complete the following:
Note:
Task ‘Comments’ field is a Long Text Area field which will have more than 255 characters, the formula ‘Note’ field will only show first 255 characters from the standard ‘Comment’ field.
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