How to cut tags correctly?

Question

Regular Expressions

Friends, once again I ask for your help.
Can you tell me how to properly split nested tags? If the tag is "single-level", I got it right. But if nested, it doesn't work.
For example, we have this line:

<b> текст <i>вложение <br> </i> переход</b><b> текст <i>вложение <br> </i> переход</b><b> текст <i>вложение <br> </i> переход</b>

Task: in places where it occurs inside the tags <br>, you need to correctly “cut” the tags.
That is, you need to get the following from the source string ( br is correctly placed outside the tag boundaries ):

<b> текст <i>вложение </i></b>
<br><b><i></i> переход</b>

<b> текст <i>вложение </i></b>
<br><b><i></i> переход</b>

<b> текст <i>вложение </i></b>
<br><b><i></i> переход</b>

Tell me how to implement the task?
Sandbox: regex101
Thanks.