Is AD $4000$ a leap year or not?

Question

There is a popular rule to determine which year is a leap year or not.

1. The year is exactly divisible by four (with no reminder);

2. If the year is divisible by $100$ (years ending in two zeros), it is not a leap, except if

3. It is also divisible by $400$ (in this case it will be a leap year).

According to the rule above,the AD $4000$ will be a leap year because it is divisible by $400$. Maybe the truth is not so.

We calculate one year as $365$ days instead of $365.2422$ days,every four years to add one day for an adjustment,this action will add $44$ minutes, $56$ seconds every $4$ years.

$$4 * 0.2422 \text{ days} = 0.9688 \text{ days}$$ $$0.9688 * 24 \text{ hours} = 23.2512 \text{ hours}$$ $$0.2512 * 60 \text{ minutes} = 15.072 \text{ minutes}$$ $$0.072 * 60 \text{ seconds} = 4.32 \text{ seconds}$$ $$24\text{ hours } - 23 \text{ hours } 15 \text{ minutes } 4 \text{ seconds } = 44 \text{ minutes } 56 \text{ seconds.}$$

Every $100$ cycles which cycle contains $4$ years will result in $3.12$ more day.

$$\frac{(44*60+56)*100}{60*60*24} = 3.12 \text{ day}.$$

So we introduce the concept century leap year. A century leap year is a leap year in the Gregorian calendar that is evenly divisible by $400$. Like all leap years, it has an extra day in February for a total of $366$ days instead of $365$.

The first 100 year, not leap year, no 29 February,365 days.
The second 100 year, not leap year, no 29 February, 365 days.
The third 100 year, not leap year, no 29 February, 365 days.
The forth 100 year, leap year, 29 February, 366 days.

Every $400$ years we calculate more $3.12-3=0.12$ days!

Every $4000$ years with same rule,we calculate more

$$(3.12-3)*10 = 0.12*10 = 1.2 \text{ days!}$$

So I think that AD $4000$ is not a leap year, and we should minus one day to make the adjustment, no 29, February in AD $4000$.

Am I right?