On the website, pointing at a message in Chat shows its actions beside the message, level with its first line: to the right of other people's messages, and to the left of your own in a direct message or group. They no longer cover the author's name and avatar, or sit over the foot of the message above, where they looked like that message's actions.
Message actions in Chat sit beside the message
Add reaction, Continue in thread and Delete now appear right beside the message they act on.