If you export a scene that has a MeshTunnelAnimator while previewing the result of the animator via the "Respawn" button in the inspector, the file size of the level can grow considerably, especially if many meshes are spawned and the mesh itself has somewhat complex geometry.
For example, opening the attached file and exporting it straight away produces a 2 KB file. But after selecting the MTA and clicking "Respawn", the file is 196 KB. If you spawn more meshes the file size will grow even larger.
MTAExportTest.unity.zip