Max depth for page content and anchor links

[HealthyPear]

Suppose I have a page made from a Jupyter Notebook with the following header structure

PAGE 1 TITLE

Table of contents

• A
  • A1

A

A1

B

Now, when I build the book, even if I have e.g.

[...]
defaults:
maxdepth: 5
[...]

I do not see the "A1" section on the right sidebar (the TOC of the page I am focusing at the moment).
It only appears when I click on "A".
Plus the links do not work.

For the links I noticed that if I use the (MyST?) contents directive I get a working TOC inline

```{contents}
:depth: 3
```

but when use the notebook alone it's basically useless...

• Is there a different settings for that? or a differentway of using the maxdepth option?
• Is there a way to get a TOC on the page that works both in a Jupyter book and using the single pages as separate notebooks?

UPDATE

I notice now that after building the book in HTML the link to e.g. the "B" header is

[....]/test_book/_build/html/page1.html#id6

so it's called id6 and not B as I would expect, but at the same time the link produced by the contents directive has #b

how does this work?

Anyway I prefer much more the simple manual markdown TOC as the one generated with the contents directive looks like a markdown codeblock when I open the notebook alone...