DEM Terrain map data rendering issues related to zoom-level

DEM 3D Terrain inclusion on the map causes various rendering issues related to zoom-level. It can result in data appearing "missing" or rendering the wrong zoom-level on portions of the map viewport. This is most apparent when layers have styling or source data that varies based on zoom-level stops. See examples and a fiddle that can help reproduce the issue below.

mapbox-gl-js version: 2.15.0

browser: Google Chrome 116.0.5845.96 (Official Build) (arm64)

Steps to Trigger Behavior

1. Load the fiddle
2. Press the "Reproduce issue" button
3. Zoom in, zoom out a couple of levels or pan the map
4. Eventually you will see some missing tiles due to rendering issues
5. Please press the button again if you can't reproduce as this is not 100% chance to occur in the first try or so

Link to Demonstration

https://jsfiddle.net/PantelisChin/56qrp7L2/1/

Expected Behavior

Actual Behavior

Video:
https://github.com/mapbox/mapbox-gl-js/assets/36043811/03ddc77e-f7bb-4dd6-87ce-e88a2f74e30c

Start with the linked JSFiddle using mapbox-gl-js 2.15.0 in Chrome and follow the listed zooming and panning steps until missing or incorrectly zoomed tiles appear. Compare the expected and actual screenshots and video, then verify that DEM terrain no longer causes viewport portions to render missing or wrong zoom-level data, including layers with zoom-level-dependent styling or source data.