I am working on a project, and for it i need pictures with detailed metadata. An ordinary picture with the mavic saves most of the data i need to the pictures metadata, but i also need the picture compass direction and the camera gyroscope/tilt (up-down angle and sideways tilt). Does anyone know if there is a way to get the gyroscope and compass data of a picture? it does not matter how the data is collected or stored, as long as it is presice and at the moment of the picture.

Interesting problem.  There is log information on most values you'll need is here:  https://datfile.net/DatCon/fields.html. Timing with the photo is something you will have to determine.

Sorry, here's the Mavic table: https://datfile.net/DatCon/fieldsV3MP.html  Unfortunately, I don't see the gimbal orientation it this table.

I would just search to see if there's an app that has this with the mobile SDK.