If strength training does not bring pain (moderate), then you should either change the coach or change the training program. There are two options here:
In any case, you shouldn't do strength training every day. This will not improve progress, but, on the contrary, will slow it down. Your muscles need time to recover, so 3 strength training per week will be sufficient. If you're looking to lose weight, it's best to add 1-2 days of cardio to your schedule.
If strength training isn't painful, it's either not strength training or it's not training. Strength training should result in muscle growth that grows after exercise during the recovery period. This occurs after a sufficient load on the muscles due to micro-tears in their tissue. Micro-tears hurt.
Any muscle group needs at least 2-3 days (provided that all aspects of recovery, such as nutrition, sleep, harmonious response, are optimally balanced) to recover. Therefore, training the same muscle groups every day will be simply counterproductive. But, if you build the training split so that each group after training has 3 days to recover, then it is theoretically possible to carry out strength training every day. Another question is that if you are an ordinary person, not an athlete, trying to simply follow the body, then you do not need such intensity, even if you really want to increase everything and everywhere. And if you are an ordinary person, then most likely you hardly have the opportunity to pay the attention to recovery that such an intensity requires. But this is all, of course, relevant when it comes to natural training.
Depending on the goal and recovery time of the body, you need to determine the number of workouts per week. For productive activity and progress, muscles must recover, which is why it is better to allocate 3-4 days a week for strength training.