Q.Indoor (tropical) cyclamen
Should old blooms be removed as they begin to droop? Will newer blooms succeed them, or is this a dormancy” sign? Plant received as a gift with blossoms already past vibrant.

After a cyclamen blooms, it will go into a dormant state. Going into a dormant state looks very much like the plant is dying, as the leaves will turn yellow and fall off. It is not dead, just sleeping. With proper cyclamen plant care, you can help it through its dormancy and it will rebloom in a few months.
When taking care of a cyclamen after blooming, allow the leaves to die and stop watering the plant once you see the signs that the leaves are dying. Place the plant in a cool, somewhat dark place. You can remove any dead foliage, if you would like. Let sit for two months.
For more information on the care of cyclamen, please visit the following link:
https://www.gardeningknowhow.com/houseplants/cyclamen/cyclamen-care.htm