Not saving hyper entries on first save, when selecting an entry of multisite

[remoflury]

Describe the bug

I have a Craft CMS 5 Multisite.
On some nested blocks, I have troubles saving links to entries to other sites within hyper on the first save.

Steps to reproduce

1. Have a nested Matrix block.
2. Inside, have a matrix with at least a hyper field (let's call it hyper-matrix)
3. Create a new entry in the hyper-matrix. Set the entry to a page on the same site --> works
4. Create a new entry in the hyper-matrix. Set the entry to a page on the another site and save it. Reopen the entry. the entry in the hyper is not saved. readd it, then it will be persisted

Craft CMS version

5.11.1

Plugin version

2.3.12

Multi-site?

Yes

Additional context

This is part of my composer.json:

"require": {
    "behinddesign/craft-object-storage": "^v1.1.1",
    "craftcms/ckeditor": "^5",
    "craftcms/cms": "^5.10.13.2",
    "johnhenry/matrix-block-anchor": "^3.3.1",
    "nystudio107/craft-retour": "^5.0.14",
    "nystudio107/craft-seomatic": "^5.1.22",
    "spicyweb/craft-embedded-assets": "^5.4.8",
    "teamnovu/craft-sitecopy": "^4.0.4",
    "verbb/auth": "^2",
    "verbb/base": "^3",
    "verbb/formie": "^3.1.40",
    "verbb/hyper": "^2",
    "verbb/tablemaker": "^5.0.9",
    "vlucas/phpdotenv": "^5"
  }

If you provide a support email, I can send you a db-dump, if you need one

[remoflury]

Here is a video of my site. I can't upload it directly to github, i assume the file size is too big:
https://www.swisstransfer.com/dl/01a0a967-3d49-7037-b41b-f5dfc9012bec

[engram-design]

Thanks for the video, that was useful!

Should be fixed for the next release. To get this early, run composer require verbb/hyper:"dev-craft-5 as 2.3.12".