Hi JM117, good day! Thank you for coming to the Special Forum.
Yes, the closer to your full retirement age, the reduced benefit "increases" gradually. Your retirement date set the amount.
If benefits begin prior to full retirement age, benefits are permanently reduced. The earliest a person can start receiving Social Security is age 62
Retirement Benefits - Starting Your Retirement Benefits Early
https://www.ssa.gov/benefits/retirement/planner/agereduction.html
Please use the Social Security Quick Calculator below, change the "Future retirement date option", "submit request" and see the estimated monthly benefit amount changes.
https://www.ssa.gov/OACT/quickcalc/
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