Hello everyone! I'm glad to announce that I've just finished setting up a page on speedrun.com for players who want to submit runs of Baldi's Fun New School Remastered!
You can check it out at https://www.speedrun.com/Baldis_Fun_New_School_Remastered, and start submitting your speed runs! Also, in the V1.4.8 update, an in-game way to access the speed run page is planned to be added, along with online-updated information showing some of the runs from that page.
And the Baldi's Fun New School Ultimate link will be updated to reflect the latest version of that project released at the time, which should be Beta 3 if everything goes well.