Transform Failure

### Transform fails after 2 times of pass down.

**Code**:
```
from manim import *
import math

class FadeInExample(MovingCameraScene):
def construct(self):
equation = MathTex("y", "=", r"\frac{1}{x}")
equation.move_to(UR)
self.play(Write(equation), run_time=1)

new_equation = MathTex(r"f(x)", "=", r"\frac{1}{x}")
new_equation.move_to(equation)
self.play(
Transform(equation, new_equation),
run_time=1
)

new2_equation = MathTex("f(x)", "=", r"\frac{1}{x}")
new2_equation.move_to(new_equation)

self.add(new2_equation)
self.remove(new_equation)

integral_eq = MathTex(r"\int_{1}^{e} \frac{1}{x}\,dx = 1")
integral_eq.move_to(new2_equation)

self.play(
Transform(new2_equation, integral_eq),
run_time=1
)
self.wait(1)
```

**The third transform failed. It will still show the new_equation and would just paste the new2_equation onto the old one again.**

### idk if that's mine mistake, at least I cant see anything that is unsual.

Look at the Transform animation in manim/scene/scene.py and manim/animation/transform.py. The issue is about Transform failing after multiple passes. Start by running the provided code to see the bug. Then examine how Transform handles target mobjects and their state. Check if there's a mismatch between the mobject being transformed and the target. The goal is to make the third Transform work correctly without overlapping equations.

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