bug(mat-tree): TreeControl's getChildren is called unexpectedly many times since cdk/material v18.2.0 and is especially problematic with asynchronous actions

### Is this a regression?

- [x] Yes, this behavior used to work in the previous version

### The previous version in which this bug was not present was

18.1.5

### Description

I've recently upgraded a project's `@angular/cdk` & `@angular/material` packages to 18.2, and I noticed a problem with the `TreeControl` when `getChildren` was asynchronous: sometimes it would result in an infinite loop of asynchronous actions; other times, it would perform a very large number of asynchronous actions; previous to 18.2 (18.1.5 was the last version it worked as expected), it would have only started a single asynchronous action per node. This is especially noticeable when the asynchronous action involves some kind of XHR.

Looking a bit further into it, I noticed that synchronous `getChildren` calls have also regressed in 18.2.0: there are now a lot more calls to this method than in cdk/material 18.1.5.

### Reproduction

18.2.X:

StackBlitz link: [StackBlitz 18.2.X](https://stackblitz.com/edit/stackblitz-starters-acc226?file=src%2Fmain.ts)
Steps to reproduce:
1. Play around with the expand icons
2. Notice the number of calls to getChildren at the top of the rendered page - it increases wildly more than the previous minor cdk/material version, and sometimes enters a seemingly infinite loop

### Expected Behavior

There should be exactly 1 call to `getChildren` for each expanded node

18.1.X:

StackBlitz link: [StackBlitz 18.1.X](https://stackblitz.com/edit/stackblitz-starters-pkwrp2?file=src%2Fmain.ts)
Steps to reproduce:
1. Play around with the expand icons
2. Notice the number of calls to getChildren at the top of the rendered page - it increases by 1 for each expanded node

### Actual Behavior

The number of calls to `getChildren` increases wildly, and I've also managed to un-deterministically enter a seemingly infinite loop.

### Environment

- Angular: 18.X.Y (reproduced on 18.1.X and 18.2.X)
- CDK/Material: all versions since 18.2.0
- Browser(s): Google Chrome 130
- Operating System (e.g. Windows, macOS, Ubuntu): macOS

リンクされた StackBlitz の再現を起点に、ノードを展開しながら 18.1.5 と 18.2.X の getChildren 呼び出し回数を比較します。getChildren を呼び出す mat-tree の TreeControl パスを追跡し、その後、修正によって非同期の子を含め、展開された各ノードに対して正確に 1 回の呼び出しが生成されることを確認します。

索引モデルが issue の本文から書いたものです。