Spousal Social Security amount

My wife (lower wage earner) is 62, I am 65. If she were to take early reduced SS on her earnings now, can she then file to claim the 1/2 of mine she’s entitled to (higher $$ amount) when I decide to begin taking my benefits?

If so, is her “1/2 of my amount”reduced because she filed early? Or does she get an amount equal to a full 1/2 of what my benefit is when I choose to file?