A competitive 4yo

Hello there, my 4 yo daughter is one of competitive toddlers I've known out there. She always wants to win every games, she will throw a really big tantrums every single times she loses games or competitions, she always wants to line up in front of her friends and she always wants to be the first one to do anything around the house.

I am glad she is never giving up everytime she lost in any competitions and still wants to try to enter another competitions. When she is throwing tantrums, I will let her to be alone with me and ask her to cry out loud and let her be sad for a moment and tell her that it is normal to feel sad, angry and dissappointed when she lost a game or competition.

I also tell her that in every competition, there are winners and there are losers. You cannot be a winner all the time because that will make you arrogant and you also cannot be loser all the time because it makes you lazier. You need to be a winner and loser in order to be humbler and be better person.

I also tell her that we as parent will be always proud of her because she is brave and confident enough to enter any competitions, getting a throphy is a bonus for us.

My question is how to make her understand the concept of winning and losing? Do you think I am in the right track in handling her emotions?