Lifting + Insanity Workout Program = Gain in Muscle + awesome cardio ?

Hi guys,
I (26M) have small knwoledge on lifting science (I've been watching YouTube videos from Fitness people such as Jeff Nippard for example) and would like to read your opinions on my situation :
I love the Insanity workout, I have completed it about 6 times in 4 years, and the feeling of truly pushing the limits of my body, noticing my cardio getting better throughout the weeks and feeling absolutely exhausted at the end of each session never gets old.

It is personnally really effective and allows me to keep a lean, lightly muscular physique, while being able to eat normally (no restrictive diet, still being able to go out for drinks and restaurants, without feeling guilty).

Now, as much as I love this cardio workout program, I would like to start lifting to build strength and put on weight through muscle mass.
While I like the idea of getting bigger, I don't want to give up the level of cardio I have reached through "Insanity".

Let's assume that the nutrition is not a problem here, it is a subject that could need its own post; my question is : Would lifting weights and doing the Insanity workout be compatible or would both workouts cancel (to some extent) each other out?
Here would be an example of a week of training :
• Day 1 : Full Body Session at the gym
• Day 2 : Insanity workout session
• Day 3 : Upper Body at the gym
• Day 4 : Insanity workout session
• Day 5 : Lower Body at the gym
• Day 6 : Insanity workout session
• Day 7 : Rest

I am gathering opinions and informations from many different sources to learn as much as I can and make the best out of my workouts, hopefully you guy's expertise can add to that.

Thanks for reading me,
I am looking forward to reading your replies !