Filament can send generated MIDI back to your DAW, record the MIDI it creates, export or drag that recording as a MIDI file, and pass a cleaned performance into MuseScore Bridge.

Set an output row destination to Host MIDI Out when you want that row's processed notes to leave Filament and feed another DAW track or instrument. This is real-time routing: the row still follows its keyswitch, voice-layer, matrix, and module settings.
Use Filament's MIDI recorder when you want to capture a generated performance, then export it or drag it into your DAW as a MIDI file. The export writes one track per output row and uses row names as track names.
Use MuseScore Bridge when the next step is notation rather than a DAW MIDI region. Record the performance, clean timing and note lengths, map rows to staves, then send the result into MuseScore.
In a DAW, Filament records against the host transport. This keeps the capture aligned to the DAW timeline and tempo.
In the standalone app, there is no DAW transport to follow, so Filament provides its own recording controls.
After recording, use Export to save a MIDI file, or drag from the MIDI recording control directly to a DAW track. Drag is useful when you want to quickly turn the generated Filament performance into editable DAW MIDI.
If you only need real-time MIDI routing, use an output row set to Host MIDI Out. If you want an editable MIDI file or DAW region, use recording, export, or drag.