How to "search public topics and PMs simlutaneously" by default?

I would like to try to make Search public topics and PMs simultaneously the default behavior in our forum.

Has anyone tried this before?

Context:
We use discourse as communication platform for a school. Most categories are restricted to groups.
Communication via PMs is the normal way to address people across groups.
When searching for a conversation, users do not remember, if to search for a PM or a topic.

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