It is advised to record the video material in different segments. YouTube’s bots have a high chance of identifying your reaction video as copyright infringement if you record the whole video as a whole. Play it for 30 seconds to 1 minute, stop to make your comments, and then play the next segment.
The other way is to learn to dispute copyright claims after posting the video. When your video is reviewed for copyright claims, click VIEW OPTIONS > SELECT ACTION > Dispute. Check the description at the bottom of the pop-up and hit “DISPUTE”. Tap “Fair use”, click “CONTINUE”, and check the description. Press “DISPUTE” and select the type of fair use. Write down the reason why you want to dispute the claim and fill in your channel’s name. Then hit “SUBMIT” to the claimer.