Hey Krizzirk. The clause "Project 99 shall always have the first right of refusal to make an offer to publish the Developed Games" means that P99 will always have the right to make the first offer to publish the Developed Game within 12 months of the conclusion of the game jam, which the developer may choose to accept P99's offer OR choose to self-publish their game. 

In the case that the developer decides to work with any 3rd party game publisher within the 12 months, they shall notify Project 99 in writing and provide relevant details of the publishing offer they received. Within 30 days of notice, P99 can either match and offer a publishing contract on the same terms OR not match the terms and waive its first right to publish the Developed Game. 

Remember that developers retain full rights to the IP of the game they developed in the game jam and rights to self-publish it as a developer.

All of this info can be found under the 'IP & Rights' Section on our itch page.