Lets examine your argument:
if you want a good muscles, then you need a good supply (it's an pretty obvious truth)
Pretty obvious yes, if you want to be healthy, you need to eat well.
so to gain mass it is probably good to eat six or even more times a day
Well, those two statements are completely unrelated. A good supply doesn't necessarily imply a continuous supply. You body is much more complex that you understand, and the idea that you can only consume and use a certain amount of food in one sitting is a myth - especially with regards to protein absorption.
In fact, the latest fad in dieting is intermittent fasting* where you only eat in a specific continuous window - usually a short as 4-8 hours a day, and not eating the rest of the time.
The fact of the matter is that your body is extraordinarily flexible about how it gets its energy - its what makes humans so resilient.
If you really want to eat multiple mini meals
Focus on foods that are easily transportable. You state that for 6 meals in a day you'd need 3 different types of meat. Meat is great, but not necessary at every meal. Perhaps consider altering your diet to match your requirements.
Also, realise that when people talk about 6 meals a day, they need to be small enough that 6 meals don't go over your daily calorie limit. A "meal" might actually just consist of a correctly timed piece of fruit or handful of nuts.
In short, when you eat isn't as important as what you eat.
* As an anecdote, when I was losing weight I used this method, not because its implicitly healthier, but because its easier to comply with if you go - "oh its not between 2pm and 8pm, well I better not eat then."