If I lose weight while dieting, should I adjust the intensity of my exercise as well?

As your weight changes while dieting, the exercises you used to do might feel easier than before.

I am wondering if it is better to gradually increase the intensity of my workouts in this situation, or if it is better to maintain my current exercise volume without overexerting myself while losing weight.

For those of you who have consistently lost weight, how did you adjust your exercise routine in response to your weight changes? I would also like to know if you made decisions based on your physical condition or recovery status.