Missing error about inability to access conflicting private properties on generic types involving intersections

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### 🔎 Search Terms

accessibility private intersection never reduced conflicting

### 🕗 Version & Regression Information

- This changed in PR: https://github.com/microsoft/TypeScript/pull/37762 - the error was present before this PR, there was a test for it: https://github.com/microsoft/TypeScript/pull/37762/files#diff-ca0ed2db9207146d34393eb3428bf91872b53a7d882b1e010312ec6f02b9d08aL24

### ⏯ Playground Link

https://www.typescriptlang.org/play/?ts=6.0.0-dev.20250817#code/MYGwhgzhAECC0G8BQ1oAcBOBLAbmALgKbRgBci0AZgPbXkB2ArgLYBGhG0AvgNxJdIkoSDABCiFOmx4iJcgmiswGchHzZ6Ac258BSfAE80xABoAeACrRCADyL0AJjFgA+aAF5oAbQteARGB+ALoANNAAFFYAPtCiAJT+gUFBPNAA9GnWGBjUGBCChsbQAJqW1naEjs7QMaJunr4BwakZWTkYBUbEAFpltvZOcNAAZLH10I1JLZn01G25APydRd0A+n0VVUOjdR4TicH+rId+wCcOzemZILQA1mEA7sTAYPTWOJXQmnPAGGAAXgYSI4SMBgIQoNAHIRCGhoIx6LdZg83phqMYMPgsBDlj0AIwbAbOcaTS6tDjtXHQboAJkJlUGuwaBxSV3mHX0XWpAGZ6VtYGELDTykSxntIiMJjSEk1Wa1ZuylpyVtz1lZ+gznILhRqtkyIlZRkKZUkjiczkF-Bc5dc7o9nq93p9vtBfgCga8HKDwZDobD4YjkaichisTigA

### 💻 Code

```ts
class A {
private a: { foo: number };
}

class B {
private a: { bar: string };
}

type X = [T["a"], (T | B)["a"]]; // errors

type Y = T["a"]; // error

type Z = T["a"]; // no error?

type Z_ = T["a"]["b"]["c"]["d"]; // look, we can even go crazy and access deep unknown properties

type Z1 = T["a"]; // error

type Z2 = T["a"]; // error

type Z3 = (T & T2)["a"]; // no error?

type Z3_ = (T & T2)["a"]["b"]["c"]["d"]; // look, we can even go crazy and access deep unknown properties
```

### 🙁 Actual behavior

`Z`, `Z_`, `Z3` and `Z3_` have no errors

### 🙂 Expected behavior

I would expect the above type aliases to all contain errors

### Additional information about the issue

somewhat related to https://github.com/microsoft/TypeScript/issues/62178

Inizia con la riproduzione fornita in TypeScript Playground e confronta gli alias che coinvolgono intersezioni, proprietà private e accessi indicizzati profondi con i casi che segnalano già errori. Traccia il comportamento del controllo dei tipi attorno a questi vincoli generici e rivedi l’issue correlata e la PR di regressione; il lavoro è completato quando Z, Z_, Z3 e Z3_ producono gli errori di accessibilità previsti.

Scritto dal modello di indicizzazione a partire dal testo della issue.