How to remove Tags: text from the_tags?

Use something like <?php the_tags('', ', ', '<br />'); ?>

From WordPress codex for the_tags():

<?php the_tags( $before, $sep, $after ); ?> 

Parameters

$before
(string) Text to display before the actual tags are displayed. Defaults to Tags:

$sep
(string) Text or character to display between each tag link. The default is a comma (,) between each tag.

$after
(string) Text to display after the last tag. The default is to display nothing.

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