Hello there, I am author of two possible solutions to your problem.

First one is the open-source incoming webhook server that can execute commands, you can find it at https://github.com/adnanh/webhook and the bitbucket hook example at https://github.com/adnanh/webhook/wiki/Hook-Examples

Second one is Hookdoo and it follows a little bit different approach. However, it is a paid Software-as-a-Service solution, but it requires you to do zero setup on the server. When you register for the first time, you will receive a month of free trial so you can try it out, and we can help you set it up. You can check it out at https://www.hookdoo.com/

All the best,
Adnan