请讲一下这道题目---```text
In the planar Cartesian coordinate system xOy, for two distinct points P(x₁, y₁) and Q(x₂, y₂), if |x₁| > |x₂|, then |y₁| ≥ |y₂|; if |x₁| < |x₂|, then |y₁| ≤ |y₂|; if |x₁| = |x₂|, then |y₁| = |y₂|. Then point P and point Q are called "advance points". Especially, when |x₁| = |x₂|, point P and point Q are also "advance points".
Given point A(2, 2), point B(4, 4).
(1) As shown in Figure 1, among the following points: C(4, 3), D(-2, 3), E(-1, -3), F(1, -1), which are "advance points" with point A? The blank is: ______
(2) If the abscissa and ordinate of a point are both integers, then this point is called an integer point. As shown in Figure 2, there are all integer points satisfying |x| ≤ 4, |y| ≤ 4.
① It is known that point P(x, y) is an integer point in the first quadrant, and it is an "advance point" with both point A and point B. Find the coordinates of all such points P.
② From all integer points, select n points, such that any two points among these n points are "advance points". Directly write down the maximum value of n.
**Figure 1 Description:**
* Type: Planar Cartesian Coordinate System with labeled points.
* Axes: X-axis and Y-axis, intersecting at the origin O. Labels 'x' and 'y' indicate the axes. Arrows indicate the positive direction.
* Scale: Integer markings from -3 to 5 on the X-axis and -3 to 5 on the Y-axis.
* Points: Points A(2, 2), B(4, 4), C(4, 3), D(-2, 3), E(-1, -3), F(1, -1) are plotted and labeled.
* Labels: Origin O is labeled.
**Figure 2 Description:**
* Type: Planar Cartesian Coordinate System with a grid of integer points marked.
* Axes: X-axis and Y-axis, intersecting at the origin O. Labels 'x' and 'y' indicate the axes. Arrows indicate the positive direction.
* Scale: Integer markings from -5 to 5 on the X-axis and -5 to 5 on the Y-axis.
* Points: A grid of dots is displayed, representing integer points (x, y) where x ranges from -5 to 5 and y ranges from -5 to 5. The question text specifically refers to points satisfying |x| ≤ 4, |y| ≤ 4, which is a subset of the points shown in the figure.
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