How to make cloud flow dataverse connection act as / impersonate the canvas app user that triggered the flow?

Question

What I did, as user A:

1. New Powerapps environment with dataverse DB, within the new environment...
2. New solution, within the new solution...
3. New Dataverse table
4. New Canvas App with a button wired to...
5. New Cloud Flow, creation triggered from within the canvas app editor. Cloud flow uses PowerApps (V2) trigger and has only one dataverse Add a new row action, which inserts a record into the table created above
6. Published the entire solution (still same env)
7. Successfully tested if I could insert through the canvas app's button, which in turn only calls the cloud flow.
8. Shared the app with user B

Ran the canvas app as user B, hit the same button:

• Cloud flow runs successfully
• New record is properly inserted

However, the record's created by columns shows User A (instead of user B). I would need User B to show as record creator.

Is my expectation wrong and this is just not possible with Powerapp triggered cloud flows, or am I missing something?

Also, I found this encouraging post, but it didn't provide any specific solution that Ii could apply.