A lid changes more than the appearance of a moss display. It affects air movement, moisture loss and the conditions inside the container, so a covered arrangement should not receive the same routine as an open pot by default.
Identify the moss where possible and choose a growing setup suited to it. A patch collected from one environment may not settle into a very different indoor display.
Inspect through the whole depth
Condensation on the glass does not tell you whether the substrate is suitably moist or excessively wet. Look for standing water and decaying material, and check the arrangement rather than adding another mist because the surface is difficult to see.
Keep the container out of unsuitable direct heat. A glass display can experience different conditions from the room around it.
Record when the lid is opened, when water is added and how the moss changes. If you alter the setup, make one appropriate adjustment at a time. An attractive miniature landscape still needs access for inspection; decoration should not make it impossible to see what is happening at the base.
University of Missouri Extension explains that uncovered containers lose moisture more readily and warns against putting closed terrariums in full sun. The lid and light exposure therefore belong in the watering assessment, not just in the display design.
Related reading: Growing Moss in Containers: Moisture, Light and Division.