So how can I improve in fast time chess?


There are probably multiple ways you can, but what stood out when I looked at your stats was this:
Total Attempts 44
You should be doing dozens of tactics a day to get better. OK maybe you've been doing them unrated and there is no record of that, but rated is better for you now. Puzzles are an easy way to get used to time pressure and quickly sizing up the board. Just my $.02.
44

I have a book on tactics. I just bought diamond membership here recently for the lessons and puzzles. I have been doing a lot of drills. I just get easily discouraged when I see someone who seems to have just started chess and is doing better than me in faster pace games.

https://chessmood.com/courses By watching these courses.