remove faded blooms?
Can You Remove the Blooms From a Hyacinth After They Fade Before Planting Outside When It Warms?
Certified GKH Gardening Expert
Yes this will not harm the plant. They will be ready to enter dormancy after the leaves fade as well. You can either plant them, or put them away if you need an extended dormancy.
This article will help: https://www.gardeningknowhow.com/ornamental/bulbs/grape-hyacinth/muscari-care-after-blooming.htm