Welcome to the community! Luckily not all is lost. Your best solution is probably a tool made by @enolan called Beescheduler.
In his own words: “Beescheduler lets you schedule different rates for your Beeminder goals based on the days of the week. I wrote it so I could focus on one project Monday - Wednesday and different ones on Thursday and Friday. This is much better than doing a tiny amount on all of them every day.”
Here is a link to the tool: https://beescheduler.echonolan.net/
Here is a link to the original forum post: Beescheduler - Schedule goals by the day of the week
This should allow you to schedule your 10 hours over just Friday and Saturday. If that doesn’t work please post back. There might be another way to do this.