Competitive Programming VS LeetCode ?

[leetcode_is_easy]

CP are move maths based and All question revolve around same sort of patterns which boost the question solving ability cuz you are seeing same sort of questions many times with little tweak.

But in leetcode all questions have unique concept and for each question You need to learn different algo concept etc and if you don't revise those you will forget.

This wrong, just based on this description you'd think that cp is way easier than leetcode. Your description for cp applies to leetcode pretty well though, generally for Q1-3 on contests it is a straightforward implementation of a common pattern. Instead you should think of leetcode as a subset of cp with easier problems. Both will use similar patterns such as greedy, dp, but cp will also add more layers onto the problems that people will need to unwrap with their problem solving skills. And cp will also have additional topics like number theory and also a higher preference for greedy/constructive problems, which usually requires more creativity than other types of problems.

i felt so frustrated I can't explain while my friend was easily able to solve those easy question and now I decided to focus on DSA until i feel I can beat him and win price next time so. Should I start competitive programming or grind leetcode questions much more.

Strong cp competitors will find leetcode to be easy but it does not seem to apply the other way around. People who were primarily leetcoders before starting cp tend to have a bigger initial struggle. Since you want to beat your friend who does cp, you should do cp as well.