SPAM not moved to Folder / SpamAssassin Service not active

Since I have a lot of Problems with Spam-Mail-Detection for about 2 or 3 months now and I am 100% sure that the SPAM-Training (moving SPAM-Mails from Inbox to SPAM-Folder) is not working I’ve noticed that the spamassassin service is not loaded

root@mail:/var/log# service spamassassin status
○ spamassassin.service - Perl-based spam filter using text analysis
     Loaded: loaded (/lib/systemd/system/spamassassin.service; disabled; vendor preset: enabled)
     Active: inactive (dead)

spampd is

root@mail:/var/log# service spamassassin status
○ spamassassin.service - Perl-based spam filter using text analysis
     Loaded: loaded (/lib/systemd/system/spamassassin.service; disabled; vendor preset: enabled)
     Active: inactive (dead)
root@mail:/var/log# service spampd status
● spampd.service - Spam Proxy Daemon
     Loaded: loaded (/lib/systemd/system/spampd.service; enabled; vendor preset: enabled)
     Active: active (running) since Tue 2025-03-25 11:12:11 CET; 9min ago
   Main PID: 38545 (spampd)

I am not sure if that is how it should be because I did not quite understand what the difference between spampd and spamassassin is

This is one example of a Mail that did not move to the SPAM-Folder. Looks very SPAM to me:

X-Spam-Checker-Version: SpamAssassin 3.4.6 (2021-04-09) on mail.xxxxx.xxx
X-Spam-Level: ***
X-Spam-Status: No, score=3.4 required=5.0 tests=BAYES_99,BAYES_999,DKIM_SIGNED,
    DKIM_VALID,DKIM_VALID_AU,DMARC_PASS,HTML_FONT_LOW_CONTRAST,
    HTML_MESSAGE,SPF_HELO_PASS,SPF_PASS autolearn=no autolearn_force=no
    version=3.4.6
X-Spam-Report:
    * 3.5 BAYES_99 BODY: Bayes spam probability is 99 to 100%
    * [score: 1.0000]
    * 0.2 BAYES_999 BODY: Bayes spam probability is 99.9 to 100%
    * [score: 1.0000]

Is there anything I can do or check to find out if everything is working correctly?

What you see is correct. The spamassassin service does not need to be running. The spampd service should be running. This is what the mail software uses to do spam filtering.
Technically, your spam service is working correctly. This can be seen as X-Spam headers are inserted into your mail.
What is interesting is that this mail passed all DKIM, SPF and DMARC tests. I think this means that the origin of the mail is indeed what it seems to be, but that also means you can use the sender address to simply block all email from this sender.

and you can use “spam test string” to see what happens with real spam message