This is a conversation you need to have with the Financial Aid office directly. They are wonderful with working with students if you reach out to them.
Of note, work-study is earned as you go - and will be offered at $1500 per semester to help you offset your expenses (not $3,00 upfront towards costs). So, if you accumulate the $1500 while working the first semester, you will have it ready to apply for the Winter Semester against costs. However, many spend it as it is earned to offset living/daily expenses and there is little if any left to directly apply to tuition/housing costs the following semester.
I had the same amount my first year. The number of hours I had to work to earn the $1500 was equivalent to another full 4 credit class. Keep that in mind when building your schedule. I had a 17-credit hour semester AND this work-study. It was exhausting and stressful.