Should I play Blitz?

I just started out playing chess and I was wondering if some more experienced players could help me out. Whenever I analyze my games I always find quite a few tactics that I missed; most of my losses even seem to come from overlooking some of my opponents moves. Currently I do puzzles on lichess for about a half hour each day and have gotten my puzzle rating over 2000, but this has had very little effect on the problem. I was trying to figure out if I were to start playing blitz in addition to rapid would that help spot tactical ideas quicker. Do you think that that would work or is there something else that I should do to mitigate this issue. In addition, is there any other tips you have to get past the 1100/1200 level on Chess.com?

Thank you for your help.

See the section 'Play Longer Time Controls' near the end of the following article..

Improving Your Chess - Resources for Beginners and Beyond…

https://www.chess.com/blog/RussBell/improving-your-chess-resources-for-beginners-and-beyond

If you were unable to spot a tactic under longer time controls, I certainly wouldn't count on you being able to see it while blitzing out moves. If you discover how to get above 1200, let me know. But I'll let you know from my own experience, hundreds of games of blitz isn't it. Blitz has been addictive because of the quick nature of the games, easier to fit into my schedule - but I've lost pretty consistently since trying to switch back to rapid.

Play blitz if you want to.

If you're looking for the optimal way to improve, however, it would be to play it very infrequently.

You can play it, but it won't be great for your overall development as a chess player.