Before you call AppleCare or head out for an Apple store, try this. Restart the computer and as soon as you hear the chime, hold down the Shift key. Once the Apple menu has appeared you may release it. This is called Safe Mode and during the safe boot two important things happen: temporary files are deleted/trimmed and the hard drive directory is repaired. Once the computer finishes booting, restart again as normal.
Check your free drive space again - ignore the bar, just look at free space. Does it look more reasonable? I have no idea what you have on your hard drive so I can’t say how much should be free but a new computer with a 128GB drive should have something like 100GB free. If this worked, the reason it worked is that sometimes a temporary file that should have been erased or trimmed isn’t. When that happens the problem tends to cascade.
If numbers look right you can try reindexing again. Spotlight: How to re-index folders or volumes - Apple Support Spotlight indexing has been problematic for as long as I can recall and I basically ignore the bar graph as basically useless. When the index becomes confused Other gets larger and larger as files that a pictures or programs get counted under the Other category and not the one they belong in.