By default there is no setting that will allow to hide the membership level from showing on the Reactions pop up. However, you can use the CSS code below to achieve this. 

Please follow the steps below:

1. Go to BuddyBoss > Theme Options

2. Under Custom Codes, enable CSS

3. Append the following:

.activity-state_user__role {

    display: none !important;

}

4. Save changes.

Note: Any modifications are considered custom work already. Know more about our Support policy here: https://www.buddyboss.com/support-policy/

Without the code:

With the code: