@Marcin.Kluzek While not an expert on this subject, I do know it can be done...it is a manual process, however, so please refer to this doc (Collect Log Analytics Data) as a starting point.
From what another expert has written...Azure provides a mechanism to send metrics and logs, like an event hub to push to our Events API. I believe Azure Monitor Extension is only good for metrics...
Minor edit to add document title – C. Landivar, Community Manager
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