Is this amount of weight gain normal?

TW: mentions of weight/ numbers and talk of BMI

I started to go fully into recovery exactly 2 weeks ago today, ( before this I was in quasi-recovery) and at the start of recovery I weighed >!90.4lbs!<, so my bmi was around >!17.1!<, and then after the first week I weighed >!95lbs!<, I was a bit scared when I saw that but remembered that a lot of that was probably water weight, and then when I weighed myself this morning it said >!97lbs!<, I thought I would've still been around >!95!< ish lbs because I thought a lot of the weight from the 1st week was water weight, I dont see how I have been able to gain >!7lbs!< in 2 weeks, and that means my BMI is probably either almost at a healthy BMI or already at a healthy BMI, so I'm starting to feel a little worried as it feels like everything is moving so fast