[TreeView] Correctly select items in deeply nested trees

[Dru89]

• I have followed (at least) the PR section of the contributing guide.

This should fix #26404 using the implementation I suggested in the issue.

[mui-pr-bot]

Details of bundle changes (experimental)

Generated by 🚫 dangerJS against 6bf227e

[Dru89]

Note that, at least locally, a different test seems to be failing:

<DesktopDateTimePicker />
       does not close on click inside:
       Expected test not to call console.error() but instead received 6 calls.

Looks like all of the warnings are:

When testing, code that causes React state updates should be wrapped into act(...):

act(() => {
  /* fire events that update state */
});
/* assert on the output */

[eps1lon]

Thanks!

[eps1lon]

@Dru89 It's a great first pull request on Material-UI 👌🏻. Thank you for working on it!