Show ALL CPTs in location page

Hi! I have created a taxonomy of different place types (using CPTs), with according subcategories. Now, when I open the location page, only ONE of the CPTs is shown.

How do I get the location page to show ALL the existing places in the location map view?

This user here seems to have the same problem:
https://wpgeodirectory.com/support/topic/custom-post-type-configuration/

(I would have added to that discussion, but the comment field clearly asks me not to.)

Since it was asked in the other thread: The reason to create multiple CPTs (instead of multiple categores) is to allow for very different information and layout for the different place types (in Archiv and Details pages).

My site is a neighborhood platform, which is supposed to display everything that the neighborhood has to offer in one comprehensive map, and offer different possibilities to interact with the listed places. Thus, I need very different templates for the different places, but I need to have everything in one map view.

Best,
Andreas