Using DAP OutputEvent over stderr for results

Prerequisites

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Summary

Currently it seems output streams of the debugee are routed to stderr of the editor services. Is there a reason DAP OutputEvent are not being used for this?
Context:
https://github.com/mfussenegger/nvim-dap/discussions/1419#discussioncomment-11893631
The DAP client for nvim recently started routing stderr of debug server to logfiles rather than showing it to users. This change on client side now prevents me from seeing the outputs streams of my debugee in neovim. Apparently most debug servers use OutputEvent to communicate output streams, so clients will be more likely to have support for this!

Proposed Design

Use OutputEvent to communicate the output streams rather than stderr.

Das Issue nennt keine Dateien oder Tests. Beginne damit nachzuverfolgen, wie debugee-Ausgabeströme in der Debug-Integration an stderr weitergeleitet werden, und überprüfe anschließend die Verarbeitung von DAP output events; abgeschlossen ist die Aufgabe, wenn diese Streams über OutputEvent kommuniziert werden, ohne die für Neovim sichtbare Ausgabe zu verlieren.