My wife's father is still peddling that toxic masculinity bullshit on his grandson, saying...to our 1-year-old... To toughen it up.
My wife about lost it on him. Now that was to our son but for our daughter it would be no different and it's a reflection of her childhood.
Being emotionally unattached, uncomfortable with crying, and being incapable saying sorry and admitting you're wrong are simply massive. Kids are kids but they have a keen sense of justice and parents should empower them to stand up for themselves and be proud of them for exposing you as a hypocrite... Not beat them with a belt...
And for goodness sake, play with your kid. She wants to play dolls? Dress you up? Paint your nails? Tea time? By god you do it! If she wants to play with army men (they make army gals, too), go for it!