Indicator for a context action menu on gantt bar

Current Situation:
In our SaaS solution for portfolio management we have several actions that are context dependent, e.g. delete a project. Those actions can be found on the element itself, e.g. the project in the projectlist on the left.
At the moment all context dependent actions can be accessed with a right click.

Problem:
The user doesn't see that there are actions due to the missing affordance. Furthermore, a rightclick is very unusual for web applications.

Therefore I want to use a visual indicator, e.g. the well known three dots for "more". But do you have any idea how to indicate the action menu on items like the gantt bar?
The challenge: the action menu is sensible to the mouse cursor.

For further explanation, see my attached image.